cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A345624 Numbers that are the sum of nine fifth powers in seven or more ways.

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%I A345624 #6 Jul 31 2021 16:09:16
%S A345624 1431398,1431429,1431640,1439173,1447570,1504636,1531397,1597929,
%T A345624 1671167,1696159,1697686,1697928,1778835,1936454,1952415,1969221,
%U A345624 1975049,2017344,2092122,2182161,2198967,2208680,2247917,2280818,2283911,2289343,2314335,2329845,2340319
%N A345624 Numbers that are the sum of nine fifth powers in seven or more ways.
%H A345624 Sean A. Irvine, <a href="/A345624/b345624.txt">Table of n, a(n) for n = 1..10000</a>
%e A345624 1431429 is a term because 1431429 = 1^5 + 2^5 + 2^5 + 6^5 + 7^5 + 12^5 + 12^5 + 13^5 + 14^5 = 1^5 + 2^5 + 2^5 + 7^5 + 7^5 + 11^5 + 11^5 + 14^5 + 14^5 = 1^5 + 2^5 + 5^5 + 8^5 + 8^5 + 8^5 + 8^5 + 14^5 + 15^5 = 1^5 + 5^5 + 6^5 + 6^5 + 6^5 + 6^5 + 10^5 + 14^5 + 15^5 = 2^5 + 2^5 + 2^5 + 4^5 + 10^5 + 11^5 + 11^5 + 12^5 + 15^5 = 2^5 + 3^5 + 3^5 + 3^5 + 10^5 + 10^5 + 10^5 + 13^5 + 15^5 = 2^5 + 3^5 + 5^5 + 6^5 + 7^5 + 8^5 + 11^5 + 11^5 + 16^5.
%o A345624 (Python)
%o A345624 from itertools import combinations_with_replacement as cwr
%o A345624 from collections import defaultdict
%o A345624 keep = defaultdict(lambda: 0)
%o A345624 power_terms = [x**5 for x in range(1, 1000)]
%o A345624 for pos in cwr(power_terms, 9):
%o A345624     tot = sum(pos)
%o A345624     keep[tot] += 1
%o A345624     rets = sorted([k for k, v in keep.items() if v >= 7])
%o A345624     for x in range(len(rets)):
%o A345624         print(rets[x])
%Y A345624 Cf. A345591, A345615, A345623, A345625, A345639, A346342.
%K A345624 nonn
%O A345624 1,1
%A A345624 _David Consiglio, Jr._, Jun 20 2021