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 A345490 Numbers that are the sum of eight squares in three or more ways. 6
 32, 35, 38, 40, 41, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Sean A. Irvine, Table of n, a(n) for n = 1..1000 EXAMPLE 35 is a term because 35 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 2^2 + 5^2 = 1^2 + 1^2 + 1^2 + 1^2 + 2^2 + 3^2 + 3^2 + 3^2 = 1^2 + 1^2 + 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 4^2. PROG (Python) from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**2 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 >= 3]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A345480, A345489, A345491, A345500, A345533. Sequence in context: A074287 A223589 A159889 * A095481 A095475 A095469 Adjacent sequences: A345487 A345488 A345489 * A345491 A345492 A345493 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 20 2021 STATUS approved

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Last modified April 17 01:35 EDT 2024. Contains 371756 sequences. (Running on oeis4.)