Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #8 Jul 31 2021 18:29:15
%S 292965218,779888018,1010431058,1110995522,1500533762,1665914642,
%T 2158376402,2373191618,2636686962,2689817858,3019732898,3205282178,
%U 3642994082,3831800882,4324686002,4687443488,5064808658,5175310322,5745705602,6317554418,6450435362,6720346178,7018992162
%N Numbers that are the sum of three fourth powers in six or more ways.
%H Sean A. Irvine, <a href="/A344647/b344647.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..70 from David Consiglio, Jr.)
%e 1010431058 is a term because 1010431058 = 13^4 + 143^4 + 156^4 = 31^4 + 132^4 + 163^4 = 44^4 + 123^4 + 167^4 = 52^4 + 117^4 + 169^4 = 69^4 + 103^4 + 172^4 = 81^4 + 92^4 + 173^4
%o (Python)
%o from itertools import combinations_with_replacement as cwr
%o from collections import defaultdict
%o keep = defaultdict(lambda: 0)
%o power_terms = [x**4 for x in range(1, 500)]
%o for pos in cwr(power_terms, 3):
%o tot = sum(pos)
%o keep[tot] += 1
%o rets = sorted([k for k, v in keep.items() if v >= 6])
%o for x in range(len(rets)):
%o print(rets[x])
%Y Cf. A344364, A344648, A344729, A344904, A345083.
%K nonn
%O 1,1
%A _David Consiglio, Jr._, May 25 2021