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 A345480 Numbers that are the sum of seven squares in three or more ways. 6
 31, 34, 37, 39, 40, 42, 43, 45, 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 (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 34 is a term because 34 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 2^2 + 5^2 = 1^2 + 1^2 + 1^2 + 2^2 + 3^2 + 3^2 + 3^2 = 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, 7):     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. A344807, A345479, A345481, A345490, A345521. Sequence in context: A194380 A269267 A025358 * A095473 A095467 A095461 Adjacent sequences:  A345477 A345478 A345479 * A345481 A345482 A345483 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 20 2021 STATUS approved

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Last modified December 1 08:34 EST 2021. Contains 349426 sequences. (Running on oeis4.)