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 A345554 Numbers that are the sum of ten cubes in six or more ways. 7
 436, 440, 447, 466, 473, 477, 480, 492, 499, 503, 506, 508, 510, 513, 515, 518, 525, 527, 529, 532, 534, 536, 538, 539, 541, 551, 553, 560, 562, 564, 567, 569, 571, 577, 581, 584, 588, 590, 595, 597, 599, 601, 602, 603, 604, 606, 607, 608, 613, 614, 616, 618 (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 440 is a term because 440 = 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 5^3 + 5^3 = 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 3^3 + 3^3 + 3^3 + 3^3 + 5^3 = 1^3 + 1^3 + 1^3 + 2^3 + 2^3 + 2^3 + 2^3 + 3^3 + 4^3 + 5^3 = 1^3 + 1^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 = 1^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 4^3 + 4^3 = 2^3 + 2^3 + 2^3 + 2^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 4^3 = 2^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 3^3 + 5^3. PROG (Python) from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**3 for x in range(1, 1000)] for pos in cwr(power_terms, 10): 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. A345545, A345553, A345555, A345599, A345808, A346805. Sequence in context: A212227 A237302 A124043 * A345808 A260366 A250781 Adjacent sequences: A345551 A345552 A345553 * A345555 A345556 A345557 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 20 2021 STATUS approved

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Last modified May 29 01:48 EDT 2023. Contains 363029 sequences. (Running on oeis4.)