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







share|improve this question






















  • 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


















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







share|improve this question






















  • 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
















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







share|improve this question













... 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






share|improve this question













share|improve this question











share|improve this question




share|improve this question










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




















  • 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












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.







share|improve this answer



















  • 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











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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









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.







share|improve this answer



















  • 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
















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.







share|improve this answer



















  • 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














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.







share|improve this answer















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.








share|improve this answer














share|improve this answer



share|improve this answer








edited 2 days ago









snetch

1736




1736










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














  • 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


















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