That gap is a bit jarring
18
... 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 16 hours ago
zennehoyzennehoy
3107
add a comment |
18
... 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 16 hours ago
zennehoyzennehoy
3107
Is this a puzzle of your own creation?
– Hugh
16 hours ago
2
@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
16 hours ago
16
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
16 hours ago
add a comment |
18
18
18
... 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 16 hours ago
zennehoyzennehoy
3107
... 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 16 hours ago
zennehoyzennehoy
3107
asked 16 hours ago
zennehoyzennehoy
3107
asked 16 hours ago
zennehoyzennehoy
3107
asked 16 hours ago
zennehoyzennehoy
3107
asked 16 hours ago
zennehoyzennehoy
3107
3107
Is this a puzzle of your own creation?
– Hugh
16 hours ago
2
@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
16 hours ago
16
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
16 hours ago
add a comment |
Is this a puzzle of your own creation?
– Hugh
16 hours ago
2
@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
16 hours ago
16
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
16 hours ago
Is this a puzzle of your own creation?
– Hugh
16 hours ago
Is this a puzzle of your own creation?
– Hugh
16 hours ago
2
2
@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
16 hours 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
16 hours ago
16
16
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
16 hours 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
16 hours ago
add a comment |
1 Answer
1
active
oldest
votes
23
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 11 hours ago
snetch
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
@Hugh see my edit
– rhsquared
15 hours ago
3
Don't overthink it :)
– zennehoy
15 hours 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
13 hours ago
2
@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
12 hours ago
|
show 3 more comments
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1 Answer
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1 Answer
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23
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 11 hours ago
snetch
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
@Hugh see my edit
– rhsquared
15 hours ago
3
Don't overthink it :)
– zennehoy
15 hours 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
13 hours ago
2
@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
12 hours ago
|
show 3 more comments
23
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 11 hours ago
snetch
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
@Hugh see my edit
– rhsquared
15 hours ago
3
Don't overthink it :)
– zennehoy
15 hours 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
13 hours ago
2
@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
12 hours ago
|
show 3 more comments
23
23
23
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 11 hours ago
snetch
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
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 11 hours ago
snetch
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
edited 11 hours ago
snetch
1736
edited 11 hours ago
snetch
1736
edited 11 hours ago
snetch
1736
1736
answered 16 hours ago
rhsquaredrhsquared
7,80521746
answered 16 hours ago
rhsquaredrhsquared
7,80521746
answered 16 hours ago
rhsquaredrhsquared
7,80521746
7,80521746
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
@Hugh see my edit
– rhsquared
15 hours ago
3
Don't overthink it :)
– zennehoy
15 hours 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
13 hours ago
2
@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
12 hours ago
|
show 3 more comments
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
@Hugh see my edit
– rhsquared
15 hours ago
3
Don't overthink it :)
– zennehoy
15 hours 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
13 hours ago
2
@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
12 hours ago
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
So, the sequence is: "numbers in base-10 that equal themselves backwards in base-8"? What could cause this gap?
– Hugh
16 hours ago
1
1
@Hugh see my edit
– rhsquared
15 hours ago
@Hugh see my edit
– rhsquared
15 hours ago
3
3
Don't overthink it :)
– zennehoy
15 hours ago
Don't overthink it :)
– zennehoy
15 hours 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
13 hours 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
13 hours ago
2
2
@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
12 hours 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
12 hours ago
|
show 3 more comments
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Is this a puzzle of your own creation?
– Hugh
16 hours ago
2
@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
16 hours ago
16
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
16 hours ago