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 A345476 Numbers that are the sum of six squares in nine or more ways. 6
 78, 81, 84, 86, 89, 92, 93, 95, 99, 100, 101, 102, 104, 105, 107, 108, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148 (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 81 is a term because 81 = 1^2 + 1^2 + 1^2 + 2^2 + 5^2 + 7^2 = 1^2 + 1^2 + 2^2 + 5^2 + 5^2 + 5^2 = 1^2 + 1^2 + 3^2 + 3^2 + 5^2 + 6^2 = 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 8^2 = 1^2 + 2^2 + 3^2 + 3^2 + 3^2 + 7^2 = 1^2 + 4^2 + 4^2 + 4^2 + 4^2 + 4^2 = 2^2 + 2^2 + 2^2 + 2^2 + 4^2 + 7^2 = 2^2 + 2^2 + 4^2 + 4^2 + 4^2 + 5^2 = 2^2 + 3^2 + 3^2 + 3^2 + 5^2 + 5^2 = 3^2 + 3^2 + 3^2 + 3^2 + 3^2 + 6^2. 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, 6):     tot = sum(pos)     keep[tot] += 1     rets = sorted([k for k, v in keep.items() if v >= 9])     for x in range(len(rets)):         print(rets[x]) CROSSREFS Cf. A344802, A344812, A345477, A345486, A345518. Sequence in context: A124289 A181467 A344812 * A217006 A053083 A246487 Adjacent sequences:  A345473 A345474 A345475 * A345477 A345478 A345479 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 20 2021 STATUS approved

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Last modified November 30 08:19 EST 2021. Contains 349419 sequences. (Running on oeis4.)