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 A345720 Numbers that are the sum of six fifth powers in six or more ways. 7
 287718651, 553545456, 746783675, 972232800, 1005620508, 1040741042, 1070652352, 1074892544, 1182426366, 1184966816, 1197332400, 1243267146, 1317183650, 1364866263, 1387455091, 1429663400, 1498160992, 1529189818, 1554833117, 1558594400, 1610298901 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Sean A. Irvine, Table of n, a(n) for n = 1..10000 EXAMPLE 553545456 is a term because 553545456 = 1^5 + 14^5 + 20^5 + 24^5 + 47^5 + 50^5 = 4^5 + 14^5 + 37^5 + 42^5 + 43^5 + 46^5 = 4^5 + 26^5 + 29^5 + 34^5 + 42^5 + 51^5 = 9^5 + 15^5 + 22^5 + 22^5 + 33^5 + 55^5 = 9^5 + 26^5 + 29^5 + 32^5 + 37^5 + 53^5 = 12^5 + 24^5 + 27^5 + 32^5 + 38^5 + 53^5. 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, 6): tot = sum(pos) keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v >= 6]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A345563, A345609, A345719, A345721, A345864, A346361. Sequence in context: A214155 A344518 A344519 * A346361 A183737 A234807 Adjacent sequences: A345717 A345718 A345719 * A345721 A345722 A345723 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 24 2021 STATUS approved

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Last modified May 23 09:20 EDT 2024. Contains 372760 sequences. (Running on oeis4.)