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 A346336 Numbers that are the sum of nine fifth powers in exactly one way. 6
 9, 40, 71, 102, 133, 164, 195, 226, 251, 257, 282, 288, 313, 344, 375, 406, 437, 468, 493, 499, 524, 555, 586, 617, 648, 679, 710, 735, 766, 797, 828, 859, 890, 921, 977, 1008, 1032, 1039, 1063, 1070, 1094, 1101, 1125, 1132, 1156, 1187, 1218, 1219, 1249, 1250 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Differs from A003354 at term 191 because 4101 = 1^5 + 1^5 + 1^5 + 1^5 + 3^5 + 3^5 + 3^5 + 3^5 + 5^5 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 4^5 + 4^5 + 4^5 + 4^5. LINKS Sean A. Irvine, Table of n, a(n) for n = 1..10000 EXAMPLE 9 is a term because 9 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5. PROG (Python) from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**5 for x in range(1, 1000)] for pos in cwr(power_terms, 9): tot = sum(pos) keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v == 1]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A003354, A345843, A346326, A346337, A346346. Sequence in context: A331343 A002085 A076603 * A003354 A063164 A165372 Adjacent sequences: A346333 A346334 A346335 * A346337 A346338 A346339 KEYWORD nonn AUTHOR David Consiglio, Jr., Jul 13 2021 STATUS approved

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Last modified March 3 03:04 EST 2024. Contains 370499 sequences. (Running on oeis4.)