cp's OEIS Frontend

A345567 Numbers that are the sum of six fourth powers in ten or more ways.

%I A345567 #6 Jul 31 2021 18:05:33
%S A345567 122915,151556,161475,162755,173075,183620,185315,197795,199106,
%T A345567 199940,201875,201955,202275,204275,204340,204595,206115,207395,
%U A345567 209795,211075,212420,213731,217620,217826,217891,218515,221250,223715,223955,224180,224451,225875
%N A345567 Numbers that are the sum of six fourth powers in ten or more ways.
%H A345567 Sean A. Irvine, <a href="/A345567/b345567.txt">Table of n, a(n) for n = 1..10000</a>
%e A345567 151556 is a term because 151556 = 1^4 + 2^4 + 2^4 + 9^4 + 11^4 + 19^4 = 1^4 + 2^4 + 3^4 + 7^4 + 16^4 + 17^4 = 1^4 + 8^4 + 11^4 + 12^4 + 13^4 + 17^4 = 2^4 + 3^4 + 7^4 + 8^4 + 11^4 + 19^4 = 3^4 + 3^4 + 3^4 + 4^4 + 12^4 + 19^4 = 3^4 + 4^4 + 11^4 + 11^4 + 14^4 + 17^4 = 3^4 + 4^4 + 13^4 + 13^4 + 13^4 + 16^4 = 4^4 + 6^4 + 9^4 + 9^4 + 9^4 + 19^4 = 4^4 + 7^4 + 11^4 + 11^4 + 11^4 + 18^4 = 4^4 + 8^4 + 9^4 + 13^4 + 13^4 + 17^4.
%o A345567 (Python)
%o A345567 from itertools import combinations_with_replacement as cwr
%o A345567 from collections import defaultdict
%o A345567 keep = defaultdict(lambda: 0)
%o A345567 power_terms = [x**4 for x in range(1, 1000)]
%o A345567 for pos in cwr(power_terms, 6):
%o A345567     tot = sum(pos)
%o A345567     keep[tot] += 1
%o A345567     rets = sorted([k for k, v in keep.items() if v >= 10])
%o A345567     for x in range(len(rets)):
%o A345567         print(rets[x])
%Y A345567 Cf. A341897, A344196, A345519, A345566, A345576, A345822.
%K A345567 nonn
%O A345567 1,1
%A A345567 _David Consiglio, Jr._, Jun 20 2021