A003379 Numbers that are the sum of 12 positive 7th powers.

12, 139, 266, 393, 520, 647, 774, 901, 1028, 1155, 1282, 1409, 1536, 2198, 2325, 2452, 2579, 2706, 2833, 2960, 3087, 3214, 3341, 3468, 3595, 4384, 4511, 4638, 4765, 4892, 5019, 5146, 5273, 5400, 5527, 5654, 6570, 6697, 6824, 6951, 7078, 7205, 7332, 7459, 7586, 7713

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

From David A. Corneth, Aug 03 2020: (Start)
367634 is in the sequence as 367634 = 3^7 + 4^7 + 4^7 + 4^7 + 4^7 + 4^7 + 4^7 + 4^7 + 4^7 + 5^7 + 5^7 + 5^7.
456545 is in the sequence as 456545 = 2^7 + 2^7 + 2^7 + 4^7 + 4^7 + 4^7 + 4^7 + 5^7 + 5^7 + 5^7 + 5^7 + 5^7.
755708 is in the sequence as 755708 = 1^7 + 2^7 + 2^7 + 3^7 + 3^7 + 3^7 + 4^7 + 4^7 + 5^7 + 5^7 + 6^7 + 6^7. (End)

Prog

(PARI) (A003379_upto(N, k=12, m=7)=[n|n<-[1..#N=sum(n=1, sqrtnint(N, m), 'x^n^m, O('x^N))^k], polcoef(N, n)])(8000) \\ 2nd & 3rd optional arg allow to get other sequences of this group. See A003333 for alternate code. - M. F. Hasler, Aug 03 2020

Crossrefs

Cf. A001015 (seventh powers).

Cf. A003369 - A003378 (numbers that are the sum of 2, ..., 11 positive 7th powers); A003335, A003346, A003357, A003368, A003390, A004801, A004812, A004823 (numbers that are the sum of 12 positive 3rd, ..., 11th powers).

Sequence in context: A125469 A113366 A360203 * A281247 A124206 A061636

Adjacent sequences: A003376 A003377 A003378 * A003380 A003381 A003382

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Offset corrected by David A. Corneth, Aug 03 2020

Status

approved