cp's OEIS Frontend

A346286 Numbers that are the sum of seven fifth powers in exactly nine ways.

%I A346286 #6 Jul 31 2021 19:12:15
%S A346286 110276376,124732805,127808693,130298618,188116743,202274051,
%T A346286 202686274,203343582,230909843,233137574,233549568,234250752,
%U A346286 244250335,251138524,253480833,254017026,254380543,265006057,265072501,273628068,279536432,279770326,280361082
%N A346286 Numbers that are the sum of seven fifth powers in exactly nine ways.
%C A346286 Differs from A345631 at term 5 because 134581976 = 1^5 + 14^5 + 17^5 + 18^5 + 26^5 + 31^5 + 39^5 = 1^5 + 1^5 + 10^5 + 12^5 + 19^5 + 35^5 + 38^5 = 8^5 + 11^5 + 12^5 + 17^5 + 27^5 + 33^5 + 38^5 = 3^5 + 12^5 + 12^5 + 21^5 + 28^5 + 32^5 + 38^5 = 4^5 + 11^5 + 13^5 + 22^5 + 24^5 + 36^5 + 36^5 = 5^5 + 6^5 + 19^5 + 20^5 + 24^5 + 36^5 + 36^5 = 1^5 + 4^5 + 21^5 + 21^5 + 29^5 + 34^5 + 36^5 = 1^5 + 8^5 + 14^5 + 23^5 + 32^5 + 32^5 + 36^5 = 6^5 + 25^5 + 25^5 + 25^5 + 29^5 + 30^5 + 36^5 = 12^5 + 20^5 + 21^5 + 26^5 + 28^5 + 34^5 + 35^5.
%H A346286 Sean A. Irvine, <a href="/A346286/b346286.txt">Table of n, a(n) for n = 1..10000</a>
%e A346286 110276376 is a term because 110276376 = 1^5 + 3^5 + 5^5 + 7^5 + 17^5 + 23^5 + 40^5 = 5^5 + 10^5 + 16^5 + 16^5 + 19^5 + 20^5 + 40^5 = 1^5 + 8^5 + 14^5 + 16^5 + 21^5 + 27^5 + 39^5 = 7^5 + 8^5 + 11^5 + 14^5 + 16^5 + 33^5 + 37^5 = 4^5 + 7^5 + 8^5 + 13^5 + 26^5 + 31^5 + 37^5 = 1^5 + 5^5 + 6^5 + 20^5 + 28^5 + 29^5 + 37^5 = 3^5 + 3^5 + 7^5 + 18^5 + 27^5 + 32^5 + 36^5 = 6^5 + 12^5 + 18^5 + 25^5 + 30^5 + 31^5 + 34^5 = 6^5 + 10^5 + 20^5 + 27^5 + 27^5 + 33^5 + 33^5.
%o A346286 (Python)
%o A346286 from itertools import combinations_with_replacement as cwr
%o A346286 from collections import defaultdict
%o A346286 keep = defaultdict(lambda: 0)
%o A346286 power_terms = [x**5 for x in range(1, 1000)]
%o A346286 for pos in cwr(power_terms, 7):
%o A346286     tot = sum(pos)
%o A346286     keep[tot] += 1
%o A346286     rets = sorted([k for k, v in keep.items() if v == 9])
%o A346286     for x in range(len(rets)):
%o A346286         print(rets[x])
%Y A346286 Cf. A345631, A345831, A346259, A346285, A346334, A346364.
%K A346286 nonn
%O A346286 1,1
%A A346286 _David Consiglio, Jr._, Jul 12 2021