That gap is a bit jarring
24
... 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 2 days ago
zennehoyzennehoy
3407
add a comment |
24
... 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 2 days ago
zennehoyzennehoy
3407
Is this a puzzle of your own creation?
– Hugh
2 days ago
4
@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 :)
– zennehoy
2 days ago
25
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.
– Excited Raichu
2 days ago
add a comment |
24
24
24
... 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 2 days ago
zennehoyzennehoy
3407
... 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 2 days ago
zennehoyzennehoy
3407
asked 2 days ago
zennehoyzennehoy
3407
asked 2 days ago
zennehoyzennehoy
3407
asked 2 days ago
zennehoyzennehoy
3407
asked 2 days ago
zennehoyzennehoy
3407
3407
Is this a puzzle of your own creation?
– Hugh
2 days ago
4
@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 :)
– zennehoy
2 days ago
25
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.
– Excited Raichu
2 days ago
add a comment |
Is this a puzzle of your own creation?
– Hugh
2 days ago
4
@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 :)
– zennehoy
2 days ago
25
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.
– Excited Raichu
2 days ago
Is this a puzzle of your own creation?
– Hugh
2 days ago
Is this a puzzle of your own creation?
– Hugh
2 days ago
4
4
@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 :)
– zennehoy
2 days ago
@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 :)
– zennehoy
2 days ago
25
25
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.
– Excited Raichu
2 days ago
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.
– Excited Raichu
2 days ago
add a comment |
1 Answer
1
active
oldest
votes
31
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 2 days ago
snetch
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
@Hugh see my edit
– rhsquared
2 days ago
3
Don't overthink it :)
– zennehoy
2 days ago
2
@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.
– snetch
2 days ago
3
@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.
– Michael Seifert
2 days ago
|
show 5 more comments
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1 Answer
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1 Answer
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31
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 2 days ago
snetch
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
@Hugh see my edit
– rhsquared
2 days ago
3
Don't overthink it :)
– zennehoy
2 days ago
2
@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.
– snetch
2 days ago
3
@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.
– Michael Seifert
2 days ago
|
show 5 more comments
31
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 2 days ago
snetch
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
@Hugh see my edit
– rhsquared
2 days ago
3
Don't overthink it :)
– zennehoy
2 days ago
2
@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.
– snetch
2 days ago
3
@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.
– Michael Seifert
2 days ago
|
show 5 more comments
31
31
31
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 2 days ago
snetch
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
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 2 days ago
snetch
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
edited 2 days ago
snetch
1736
edited 2 days ago
snetch
1736
edited 2 days ago
snetch
1736
1736
answered 2 days ago
rhsquaredrhsquared
7,92521846
answered 2 days ago
rhsquaredrhsquared
7,92521846
answered 2 days ago
rhsquaredrhsquared
7,92521846
7,92521846
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
@Hugh see my edit
– rhsquared
2 days ago
3
Don't overthink it :)
– zennehoy
2 days ago
2
@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.
– snetch
2 days ago
3
@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.
– Michael Seifert
2 days ago
|
show 5 more comments
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
@Hugh see my edit
– rhsquared
2 days ago
3
Don't overthink it :)
– zennehoy
2 days ago
2
@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.
– snetch
2 days ago
3
@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.
– Michael Seifert
2 days ago
1
1
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
2 days ago
1
1
@Hugh see my edit
– rhsquared
2 days ago
@Hugh see my edit
– rhsquared
2 days ago
3
3
Don't overthink it :)
– zennehoy
2 days ago
Don't overthink it :)
– zennehoy
2 days ago
2
2
@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.
– snetch
2 days ago
@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.
– snetch
2 days ago
3
3
@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.
– Michael Seifert
2 days ago
@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.
– Michael Seifert
2 days ago
|
show 5 more comments
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Is this a puzzle of your own creation?
– Hugh
2 days ago
4
@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 :)
– zennehoy
2 days ago
25
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.
– Excited Raichu
2 days ago