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 A344518 Numbers that are the sum of five fifth powers in four or more ways. 6
 287618651, 1386406515, 1763135232, 2494769760, 2619898293, 3096064443, 3291315732, 3749564512, 4045994624, 5142310350, 5183605813, 5658934676, 5880926107, 7205217018, 7401155424, 7691215599, 8429499101, 8926086432, 9006349824, 9051501568, 9203796832 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Sean A. Irvine, Table of n, a(n) for n = 1..4906 EXAMPLE 287618651 is a term because 287618651 = 9^5 + 22^5 + 28^5 + 28^5 + 49^5 = 10^5 + 14^5 + 27^5 + 38^5 + 47^5 = 12^5 + 13^5 + 24^5 + 42^5 + 45^5 = 12^5 + 21^5 + 23^5 + 31^5 + 49^5. 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, 500)] for pos in cwr(power_terms, 5): tot = sum(pos) keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v >= 4]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A342687, A344354, A344519, A345718, A345863. Sequence in context: A320878 A320879 A214155 * A344519 A345720 A346361 Adjacent sequences: A344515 A344516 A344517 * A344519 A344520 A344521 KEYWORD nonn AUTHOR David Consiglio, Jr., May 21 2021 STATUS approved

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Last modified April 20 15:37 EDT 2024. Contains 371844 sequences. (Running on oeis4.)