cp's OEIS Frontend

A346284 Numbers that are the sum of seven fifth powers in exactly seven ways.

%I A346284 #6 Jul 31 2021 19:12:07
%S A346284 28608832,35663099,36090526,46998599,51095638,52541851,54233651,
%T A346284 54827543,54886349,61263643,61634374,63514593,64810976,65198607,
%U A346284 66708676,67887843,70979107,72970305,74002457,74115801,74132607,74487093,75044651,75378359,75612250,75997624
%N A346284 Numbers that are the sum of seven fifth powers in exactly seven ways.
%C A346284 Differs from A345629 at term 4 because 36620574 = 4^5 + 9^5 + 14^5 + 17^5 + 18^5 + 21^5 + 31^5 = 1^5 + 12^5 + 13^5 + 14^5 + 20^5 + 24^5 + 30^5 = 8^5 + 9^5 + 12^5 + 13^5 + 16^5 + 27^5 + 29^5 = 5^5 + 7^5 + 7^5 + 20^5 + 23^5 + 23^5 + 29^5 = 17^5 + 18^5 + 20^5 + 20^5 + 20^5 + 20^5 + 29^5 = 2^5 + 7^5 + 14^5 + 14^5 + 23^5 + 26^5 + 28^5 = 4^5 + 8^5 + 8^5 + 17^5 + 23^5 + 27^5 + 27^5 = 2^5 + 3^5 + 14^5 + 18^5 + 24^5 + 26^5 + 27^5.
%H A346284 Sean A. Irvine, <a href="/A346284/b346284.txt">Table of n, a(n) for n = 1..10000</a>
%e A346284 28608832 is a term because 28608832 = 3^5 + 4^5 + 4^5 + 8^5 + 10^5 + 24^5 + 29^5 = 2^5 + 12^5 + 12^5 + 16^5 + 18^5 + 24^5 + 28^5 = 6^5 + 6^5 + 14^5 + 14^5 + 22^5 + 22^5 + 28^5 = 7^5 + 8^5 + 13^5 + 14^5 + 17^5 + 26^5 + 27^5 = 2^5 + 8^5 + 11^5 + 19^5 + 22^5 + 23^5 + 27^5 = 6^5 + 6^5 + 12^5 + 14^5 + 24^5 + 24^5 + 26^5 = 7^5 + 7^5 + 8^5 + 16^5 + 24^5 + 25^5 + 25^5.
%o A346284 (Python)
%o A346284 from itertools import combinations_with_replacement as cwr
%o A346284 from collections import defaultdict
%o A346284 keep = defaultdict(lambda: 0)
%o A346284 power_terms = [x**5 for x in range(1, 1000)]
%o A346284 for pos in cwr(power_terms, 7):
%o A346284     tot = sum(pos)
%o A346284     keep[tot] += 1
%o A346284     rets = sorted([k for k, v in keep.items() if v == 7])
%o A346284     for x in range(len(rets)):
%o A346284         print(rets[x])
%Y A346284 Cf. A345629, A345829, A346283, A346285, A346332, A346362.
%K A346284 nonn
%O A346284 1,1
%A A346284 _David Consiglio, Jr._, Jul 12 2021