cp's OEIS Frontend

A345579 Numbers that are the sum of eight fourth powers in four or more ways.

%I A345579 #6 Jul 31 2021 17:51:33
%S A345579 2933,2948,3013,3173,3188,3557,4148,4163,4213,4228,4293,4388,4403,
%T A345579 4453,4468,4643,4772,4837,4883,5012,5123,5188,5203,5268,5333,5363,
%U A345579 5378,5398,5428,5443,5508,5538,5573,5603,5618,5668,5683,5733,5748,5858,5923,6052,6163
%N A345579 Numbers that are the sum of eight fourth powers in four or more ways.
%H A345579 Sean A. Irvine, <a href="/A345579/b345579.txt">Table of n, a(n) for n = 1..10000</a>
%e A345579 2948 is a term because 2948 = 1^4 + 1^4 + 1^4 + 2^4 + 2^4 + 4^4 + 4^4 + 7^4 = 1^4 + 1^4 + 1^4 + 2^4 + 3^4 + 4^4 + 6^4 + 6^4 = 2^4 + 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 4^4 + 7^4 = 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 3^4 + 6^4 + 6^4.
%o A345579 (Python)
%o A345579 from itertools import combinations_with_replacement as cwr
%o A345579 from collections import defaultdict
%o A345579 keep = defaultdict(lambda: 0)
%o A345579 power_terms = [x**4 for x in range(1, 1000)]
%o A345579 for pos in cwr(power_terms, 8):
%o A345579     tot = sum(pos)
%o A345579     keep[tot] += 1
%o A345579     rets = sorted([k for k, v in keep.items() if v >= 4])
%o A345579     for x in range(len(rets)):
%o A345579         print(rets[x])
%Y A345579 Cf. A345534, A345570, A345578, A345580, A345588, A345612, A345836.
%K A345579 nonn
%O A345579 1,1
%A A345579 _David Consiglio, Jr._, Jun 20 2021