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 A346326 Numbers that are the sum of eight fifth powers in exactly one way. 6
 8, 39, 70, 101, 132, 163, 194, 225, 250, 256, 281, 312, 343, 374, 405, 436, 467, 492, 523, 554, 585, 616, 647, 678, 734, 765, 796, 827, 858, 889, 976, 1007, 1031, 1038, 1062, 1069, 1093, 1100, 1124, 1155, 1186, 1217, 1218, 1248, 1249, 1273, 1280, 1304, 1311 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Differs from A003353 at term 156 because 4100 = 1^5 + 1^5 + 1^5 + 3^5 + 3^5 + 3^5 + 3^5 + 5^5 = 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 8 is a term because 8 = 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, 8): 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. A003353, A345833, A346278, A346327, A346336. Sequence in context: A026662 A196074 A329172 * A003353 A209368 A190097 Adjacent sequences: A346323 A346324 A346325 * A346327 A346328 A346329 KEYWORD nonn AUTHOR David Consiglio, Jr., Jul 13 2021 STATUS approved

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Last modified April 21 19:32 EDT 2024. Contains 371885 sequences. (Running on oeis4.)