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%I #14 Aug 06 2020 22:07:40
%S 12,139,266,393,520,647,774,901,1028,1155,1282,1409,1536,2198,2325,
%T 2452,2579,2706,2833,2960,3087,3214,3341,3468,3595,4384,4511,4638,
%U 4765,4892,5019,5146,5273,5400,5527,5654,6570,6697,6824,6951,7078,7205,7332,7459,7586,7713
%N Numbers that are the sum of 12 positive 7th powers.
%H David A. Corneth, <a href="/A003379/b003379.txt">Table of n, a(n) for n = 1..10000</a>
%e From _David A. Corneth_, Aug 03 2020: (Start)
%e 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.
%e 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.
%e 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)
%o (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
%Y Cf. A001015 (seventh powers).
%Y 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).
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
%E Offset corrected by _David A. Corneth_, Aug 03 2020
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