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 A003344 Numbers that are the sum of 10 positive 4th powers. 38
 10, 25, 40, 55, 70, 85, 90, 100, 105, 115, 120, 130, 135, 145, 150, 160, 165, 170, 180, 185, 195, 200, 210, 215, 225, 230, 245, 250, 260, 265, 275, 280, 290, 295, 310, 325, 330, 340, 345, 355, 360, 370, 375, 385, 390, 400, 405, 410, 420, 425, 435, 440, 450, 455, 465 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe) Eric Weisstein's World of Mathematics, Biquadratic Number. EXAMPLE From David A. Corneth, Aug 03 2020: (Start) 5176 is in the sequence as 5176 = 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 5^4 + 5^4 + 5^4 + 5^4 + 7^4. 6901 is in the sequence as 6901 = 1^4 + 4^4 + 4^4 + 5^4 + 5^4 + 5^4 + 5^4 + 6^4 + 6^4 + 6^4. 8502 is in the sequence as 8502 = 1^4 + 3^4 + 4^4 + 5^4 + 5^4 + 5^4 + 6^4 + 6^4 + 6^4 + 7^4. (End) PROG (Python) from itertools import count, takewhile, combinations_with_replacement as mc def aupto(limit): pows4 = list(takewhile(lambda x: x <= limit, (i**4 for i in count(1)))) sum10 = set(sum(c) for c in mc(pows4, 10) if sum(c) <= limit) return sorted(sum10) print(aupto(465)) # Michael S. Branicky, Oct 25 2021 CROSSREFS Cf. A000583, A003333, A003343, A003355, A047721, A345595, A345853. Sequence in context: A003001 A198377 A038350 * A345853 A047721 A155576 Adjacent sequences: A003341 A003342 A003343 * A003345 A003346 A003347 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified June 17 15:34 EDT 2024. Contains 373456 sequences. (Running on oeis4.)