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A003357
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Numbers that are the sum of 12 positive 5th powers.
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45
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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
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1,1
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LINKS
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EXAMPLE
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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)
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PROG
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(PARI) (A003357_upto(N, k=12, m=5)=[n|n<-[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
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CROSSREFS
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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).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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