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 A344729 Numbers that are the sum of three fourth powers in seven or more ways. 6
 779888018, 5745705602, 8185089458, 11054952818, 12478208288, 14355295682, 21789116258, 22247419922, 26839201298, 29428835618, 31861462178, 33038379458, 37314202562, 38214512882, 41923075922, 46543615202, 49511121842, 51711350418, 54438780578, 56255300738, 59223741122, 62862779042, 63170929458, 63429959138, 71035097042, 71447292098, 73526154338, 73665805122, 81629817458 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..100 EXAMPLE 779888018 is a term because 779888018 = 3^4+ 139^4+ 142^4 = 9^4+ 38^4+ 167^4 = 14^4+ 133^4+ 147^4 = 43^4+ 114^4+ 157^4 = 47^4+ 111^4+ 158^4 = 63^4+ 98^4+ 161^4 = 73^4+ 89^4+ 162^4 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, 3):     tot = sum(pos)     keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v >= 7]) for x in range(len(rets)):     print(rets[x]) CROSSREFS Cf. A344647, A344730, A344737, A344922, A345086. Sequence in context: A157788 A058420 A297867 * A344730 A225389 A166121 Adjacent sequences:  A344726 A344727 A344728 * A344730 A344731 A344732 KEYWORD nonn AUTHOR David Consiglio, Jr., May 27 2021 STATUS approved

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Last modified September 19 03:31 EDT 2021. Contains 347550 sequences. (Running on oeis4.)