cp's OEIS Frontend

A345609 Numbers that are the sum of seven fifth powers in six or more ways.

%I A345609 #8 Jul 31 2021 16:25:22
%S A345609 13562501,14583968,21555313,22057487,22066065,23089782,23345024,
%T A345609 24217918,24401574,24855016,24952718,24993517,25052501,25385064,
%U A345609 28608832,29558618,30653536,31613713,32559143,33005785,33533765,33635825,33828631,34267551,34268332,35431351
%N A345609 Numbers that are the sum of seven fifth powers in six or more ways.
%H A345609 Sean A. Irvine, <a href="/A345609/b345609.txt">Table of n, a(n) for n = 1..10000</a>
%e A345609 14583968 is a term because 14583968 = 1^5 + 4^5 + 14^5 + 16^5 + 19^5 + 21^5 + 23^5 = 2^5 + 4^5 + 14^5 + 14^5 + 20^5 + 22^5 + 22^5 = 4^5 + 5^5 + 10^5 + 15^5 + 20^5 + 21^5 + 23^5 = 6^5 + 8^5 + 9^5 + 15^5 + 15^5 + 20^5 + 25^5 = 6^5 + 8^5 + 14^5 + 14^5 + 14^5 + 16^5 + 26^5 = 6^5 + 10^5 + 12^5 + 12^5 + 16^5 + 16^5 + 26^5.
%o A345609 (Python)
%o A345609 from itertools import combinations_with_replacement as cwr
%o A345609 from collections import defaultdict
%o A345609 keep = defaultdict(lambda: 0)
%o A345609 power_terms = [x**5 for x in range(1, 1000)]
%o A345609 for pos in cwr(power_terms, 7):
%o A345609     tot = sum(pos)
%o A345609     keep[tot] += 1
%o A345609     rets = sorted([k for k, v in keep.items() if v >= 6])
%o A345609     for x in range(len(rets)):
%o A345609         print(rets[x])
%Y A345609 Cf. A345572, A345608, A345614, A345629, A345720, A346283.
%K A345609 nonn
%O A345609 1,1
%A A345609 _David Consiglio, Jr._, Jun 20 2021