

A003357


Numbers that are the sum of 12 positive 5th powers.


45



12, 43, 74, 105, 136, 167, 198, 229, 254, 260, 285, 291, 316, 322, 347, 353, 378, 384, 409, 440, 471, 496, 502, 527, 533, 558, 564, 589, 595, 620, 651, 682, 713, 738, 744, 769, 775, 800, 806, 831, 862, 893, 924, 955, 980, 986, 1011, 1017, 1035, 1042, 1066, 1073, 1097
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OFFSET

1,1


LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)


EXAMPLE

From David A. Corneth, Aug 03 2020: (Start)
14585 is in the sequence as 14585 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 2^5 + 4^5 + 4^5 + 5^5 + 5^5 + 5^5 + 5^5.
22088 is in the sequence as 22088 = 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 3^5 + 3^5 + 3^5 + 3^5 + 4^5 + 5^5 + 7^5.
24800 is in the sequence as 24800 = 2^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 6^5 + 6^5. (End)


PROG

(PARI) (A003357_upto(N, k=12, m=5)=[nn<[1..#N=sum(n=1, sqrtnint(N, m), 'x^n^m, O('x^N))^k], polcoef(N, n)])(1100) \\ 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. A000584 (fifth powers).
Cf. A003347  A003356 (numbers that are the sum of 2, ..., 11 positive 5th powers); A003335, A003346, A003368, A003379, A003390, A004801, A004812, A004823 (numbers that are the sum of 12 positive 3rd, ..., 11th powers).
Sequence in context: A125221 A253911 A082829 * A004466 A062749 A251929
Adjacent sequences: A003354 A003355 A003356 * A003358 A003359 A003360


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



