That gap is a bit jarring
27
$begingroup$
... but there doesn't seem to be anything missing.
$0,1,2,3,4,5,6,7,1527465$
What then could cause that rather large gap?
number-sequence
asked Jan 8 at 15:07
zennehoyzennehoy
35517
$endgroup$
add a comment |
27
$begingroup$
... but there doesn't seem to be anything missing.
$0,1,2,3,4,5,6,7,1527465$
What then could cause that rather large gap?
number-sequence
asked Jan 8 at 15:07
zennehoyzennehoy
35517
$endgroup$
$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
5
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
26
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39
add a comment |
27
27
27
$begingroup$
... but there doesn't seem to be anything missing.
$0,1,2,3,4,5,6,7,1527465$
What then could cause that rather large gap?
number-sequence
asked Jan 8 at 15:07
zennehoyzennehoy
35517
$endgroup$
... but there doesn't seem to be anything missing.
$0,1,2,3,4,5,6,7,1527465$
What then could cause that rather large gap?
number-sequence
number-sequence
asked Jan 8 at 15:07
zennehoyzennehoy
35517
asked Jan 8 at 15:07
zennehoyzennehoy
35517
asked Jan 8 at 15:07
zennehoyzennehoy
35517
asked Jan 8 at 15:07
zennehoyzennehoy
35517
asked Jan 8 at 15:07
zennehoyzennehoy
35517
35517
$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
5
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
26
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39
add a comment |
$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
5
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
26
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39
$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
5
5
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
26
26
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39
add a comment |
1 Answer
1
active
oldest
votes
32
$begingroup$
The sequence 0,1,2,3,4,5,6,7 pointed towards octal numbers.
If we take the number 1527465 (base 10) and convert it to base 8 we get the same digits in reverse order 5647251
The gap is because no other number between 7 and 1527465 shares that property.
edited Jan 8 at 20:18
snetch
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
$endgroup$
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
|
show 5 more comments
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1 Answer
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1 Answer
1
active
oldest
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active
oldest
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active
oldest
votes
32
$begingroup$
The sequence 0,1,2,3,4,5,6,7 pointed towards octal numbers.
If we take the number 1527465 (base 10) and convert it to base 8 we get the same digits in reverse order 5647251
The gap is because no other number between 7 and 1527465 shares that property.
edited Jan 8 at 20:18
snetch
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
$endgroup$
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
|
show 5 more comments
32
$begingroup$
The sequence 0,1,2,3,4,5,6,7 pointed towards octal numbers.
If we take the number 1527465 (base 10) and convert it to base 8 we get the same digits in reverse order 5647251
The gap is because no other number between 7 and 1527465 shares that property.
edited Jan 8 at 20:18
snetch
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
$endgroup$
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
|
show 5 more comments
32
32
32
$begingroup$
The sequence 0,1,2,3,4,5,6,7 pointed towards octal numbers.
If we take the number 1527465 (base 10) and convert it to base 8 we get the same digits in reverse order 5647251
The gap is because no other number between 7 and 1527465 shares that property.
edited Jan 8 at 20:18
snetch
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
$endgroup$
The sequence 0,1,2,3,4,5,6,7 pointed towards octal numbers.
If we take the number 1527465 (base 10) and convert it to base 8 we get the same digits in reverse order 5647251
The gap is because no other number between 7 and 1527465 shares that property.
edited Jan 8 at 20:18
snetch
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
edited Jan 8 at 20:18
snetch
1736
edited Jan 8 at 20:18
snetch
1736
edited Jan 8 at 20:18
snetch
1736
1736
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
answered Jan 8 at 15:43
rhsquaredrhsquared
8,23031849
8,23031849
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
|
show 5 more comments
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
2
2
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
$begingroup$
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
$endgroup$
– Hugh
Jan 8 at 15:46
1
1
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
$begingroup$
@Hugh see my edit
$endgroup$
– rhsquared
Jan 8 at 15:53
3
3
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
$begingroup$
Don't overthink it :)
$endgroup$
– zennehoy
Jan 8 at 15:56
2
2
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
$begingroup$
@Hugh just brute forced it all the way through 10,000,000 and you're right, these eight numbers are the only ones that reverse into their octal counterparts.
$endgroup$
– snetch
Jan 8 at 18:34
3
3
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
$begingroup$
@snetch: Note that any such numbers must be less than 10^10, since any 10-digit number in base 10 will have at least 11 digits in base 8.
$endgroup$
– Michael Seifert
Jan 8 at 19:43
|
show 5 more comments
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$begingroup$
Is this a puzzle of your own creation?
$endgroup$
– Hugh
Jan 8 at 15:11
5
$begingroup$
@Hugh I came across the sequence more or less by accident, and was surprised that it wasn't on OEIS yet. I figured I'd post it here before adding it there :)
$endgroup$
– zennehoy
Jan 8 at 15:20
26
$begingroup$
They're the solutions to the polynomial x^9 - 1527493x^8 + 42769342x^7 - 49185690x^6 + 2993838169x^5 - 10339423717x^4 + 20058670380x^3 - 5040x^2 + 7698423600x = 0, but for some reason I doubt that's the cause.
$endgroup$
– Excited Raichu
Jan 8 at 15:39