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 A345587 Numbers that are the sum of nine fourth powers in three or more ways. 8
 519, 534, 599, 774, 1143, 1364, 1539, 1604, 1619, 1814, 2579, 2644, 2659, 2679, 2694, 2709, 2724, 2739, 2754, 2759, 2774, 2789, 2819, 2834, 2839, 2854, 2869, 2884, 2899, 2919, 2934, 2949, 2964, 2994, 2999, 3014, 3029, 3079, 3094, 3109, 3124, 3139, 3159, 3174 (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 534 is a term because 534 = 1^4 + 1^4 + 1^4 + 1^4 + 1^4 + 1^4 + 2^4 + 4^4 + 4^4 = 1^4 + 1^4 + 1^4 + 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 4^4 = 2^4 + 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 3^4 + 3^4 + 3^4. PROG (Python) from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**4 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 >= 3]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A345542, A345578, A345586, A345588, A345596, A345620, A345845. Sequence in context: A253726 A293085 A173791 * A345845 A051983 A250768 Adjacent sequences: A345584 A345585 A345586 * A345588 A345589 A345590 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 20 2021 STATUS approved

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Last modified May 23 20:54 EDT 2024. Contains 372765 sequences. (Running on oeis4.)