cp's OEIS Frontend

A344277 Numbers that are the sum of three fourth powers in four or more ways.

%I A344277 #6 Jul 31 2021 18:29:07
%S A344277 5978882,15916082,20621042,22673378,30623138,33998258,39765362,
%T A344277 48432482,53809938,61627202,65413922,74346818,84942578,88258898,
%U A344277 95662112,103363442,117259298,128929682,131641538,137149922,143244738,155831858,158811842,167042642,174135122,175706258,188529362
%N A344277 Numbers that are the sum of three fourth powers in four or more ways.
%H A344277 David Consiglio, Jr., <a href="/A344277/b344277.txt">Table of n, a(n) for n = 1..9084</a>
%e A344277 20621042 is a member of this sequence because 20621042 = 5^4 + 54^4 + 59^4 = 10^4 + 51^4 + 61^4 = 25^4 + 46^4 + 63^4 = 26^4 + 39^4 + 65^4
%o A344277 (Python)
%o A344277 from itertools import combinations_with_replacement as cwr
%o A344277 from collections import defaultdict
%o A344277 keep = defaultdict(lambda: 0)
%o A344277 power_terms = [x**4 for x in range(1,50)]
%o A344277 for pos in cwr(power_terms,3):
%o A344277     tot = sum(pos)
%o A344277     keep[tot] += 1
%o A344277 rets = sorted([k for k,v in keep.items() if v >= 4])
%o A344277 for x in range(len(rets)):
%o A344277     print(rets[x])
%Y A344277 Cf. A343968, A344239, A344278, A344352, A344364.
%K A344277 nonn
%O A344277 1,1
%A A344277 _David Consiglio, Jr._, May 13 2021