cp's OEIS Frontend

A346341 Numbers that are the sum of nine fifth powers in exactly six ways.

%I A346341 #6 Jul 31 2021 19:01:00
%S A346341 926404,936607,952896,985421,993574,993605,993816,1075779,1123321,
%T A346341 1133344,1134367,1151406,1160105,1166111,1177144,1206514,1209669,
%U A346341 1209847,1215545,1225630,1251130,1264929,1265320,1278611,1414834,1422367,1422609,1430384,1431367
%N A346341 Numbers that are the sum of nine fifth powers in exactly six ways.
%C A346341 Differs from A345623 at term 30 because 1431398 = 2^5 + 5^5 + 5^5 + 5^5 + 6^5 + 7^5 + 10^5 + 12^5 + 16^5 = 1^5 + 3^5 + 5^5 + 6^5 + 7^5 + 8^5 + 11^5 + 11^5 + 16^5 = 1^5 + 1^5 + 5^5 + 8^5 + 8^5 + 8^5 + 8^5 + 14^5 + 15^5 = 2^5 + 3^5 + 4^5 + 4^5 + 7^5 + 8^5 + 12^5 + 13^5 + 15^5 = 1^5 + 3^5 + 3^5 + 3^5 + 10^5 + 10^5 + 10^5 + 13^5 + 15^5 = 1^5 + 2^5 + 2^5 + 4^5 + 10^5 + 11^5 + 11^5 + 12^5 + 15^5 = 1^5 + 1^5 + 2^5 + 7^5 + 7^5 + 11^5 + 11^5 + 14^5 + 14^5 = 1^5 + 1^5 + 2^5 + 6^5 + 7^5 + 12^5 + 12^5 + 13^5 + 14^5.
%H A346341 Sean A. Irvine, <a href="/A346341/b346341.txt">Table of n, a(n) for n = 1..10000</a>
%e A346341 926404 is a term because 926404 = 2^5 + 5^5 + 6^5 + 6^5 + 6^5 + 6^5 + 8^5 + 10^5 + 15^5 = 2^5 + 4^5 + 6^5 + 6^5 + 7^5 + 7^5 + 7^5 + 10^5 + 15^5 = 2^5 + 2^5 + 5^5 + 8^5 + 8^5 + 8^5 + 8^5 + 8^5 + 15^5 = 2^5 + 2^5 + 2^5 + 7^5 + 7^5 + 8^5 + 11^5 + 11^5 + 14^5 = 2^5 + 2^5 + 2^5 + 6^5 + 7^5 + 8^5 + 12^5 + 12^5 + 13^5 = 1^5 + 1^5 + 4^5 + 4^5 + 7^5 + 11^5 + 12^5 + 12^5 + 12^5.
%o A346341 (Python)
%o A346341 from itertools import combinations_with_replacement as cwr
%o A346341 from collections import defaultdict
%o A346341 keep = defaultdict(lambda: 0)
%o A346341 power_terms = [x**5 for x in range(1, 1000)]
%o A346341 for pos in cwr(power_terms, 9):
%o A346341     tot = sum(pos)
%o A346341     keep[tot] += 1
%o A346341     rets = sorted([k for k, v in keep.items() if v == 6])
%o A346341     for x in range(len(rets)):
%o A346341         print(rets[x])
%Y A346341 Cf. A345623, A345848, A346331, A346340, A346342, A346351.
%K A346341 nonn
%O A346341 1,1
%A A346341 _David Consiglio, Jr._, Jul 13 2021