cp's OEIS Frontend

A344750 Numbers that are the sum of three fourth powers in nine or more ways.

%I A344750 #10 Jul 31 2021 18:29:26
%S A344750 49511121842,105760443698,131801075042,187758243218,253590205778,
%T A344750 281539574498,319889609522,364765611938,401069383442,445600096578,
%U A344750 510334859762,541692688082,601395185762,615665999858,703409488418,730871934338,749472385298,792177949472
%N A344750 Numbers that are the sum of three fourth powers in nine or more ways.
%H A344750 David Consiglio, Jr., <a href="/A344750/b344750.txt">Table of n, a(n) for n = 1..41</a>
%e A344750 105760443698 is a term because 105760443698 = 7^4 + 476^4 + 483^4  = 51^4 + 452^4 + 503^4  = 76^4 + 437^4 + 513^4  = 107^4 + 417^4 + 524^4  = 133^4 + 399^4 + 532^4  = 199^4 + 348^4 + 547^4  = 212^4 + 337^4 + 549^4  = 228^4 + 323^4 + 551^4  = 252^4 + 301^4 + 553^4.
%o A344750 (Python)
%o A344750 from itertools import combinations_with_replacement as cwr
%o A344750 from collections import defaultdict
%o A344750 keep = defaultdict(lambda: 0)
%o A344750 power_terms = [x**4 for x in range(1, 1000)]
%o A344750 for pos in cwr(power_terms, 3):
%o A344750     tot = sum(pos)
%o A344750     keep[tot] += 1
%o A344750 rets = sorted([k for k, v in keep.items() if v >= 9])
%o A344750 for x in range(len(rets)):
%o A344750     print(rets[x])
%Y A344750 Cf. A344737, A344751, A344862, A344926, A345119.
%K A344750 nonn
%O A344750 1,1
%A A344750 _David Consiglio, Jr._, May 28 2021