cp's OEIS Frontend

A345723 Numbers that are the sum of six fifth powers in nine or more ways.

%I A345723 #10 May 10 2024 02:41:51
%S A345723 9085584992,16933805856,37377003050,39254220544,41066625600,
%T A345723 41485873792,42149876800,43828403850,44180505600,45902654525,
%U A345723 48588434400,52005184992,53536896864,54156285568,55302546200,56229189632,57088402525,59954496800,63432407850
%N A345723 Numbers that are the sum of six fifth powers in nine or more ways.
%H A345723 Sean A. Irvine, <a href="/A345723/b345723.txt">Table of n, a(n) for n = 1..127</a>
%e A345723 16933805856 =  2^5 + 38^5 + 68^5 + 74^5 + 92^5 +  92^5
%e A345723             =  2^5 + 54^5 + 58^5 + 64^5 + 92^5 +  96^5
%e A345723             = 14^5 + 36^5 + 61^5 + 67^5 + 94^5 +  94^5
%e A345723             = 15^5 + 49^5 + 52^5 + 60^5 + 94^5 +  96^5
%e A345723             = 17^5 + 49^5 + 53^5 + 57^5 + 92^5 +  98^5
%e A345723             = 29^5 + 36^5 + 42^5 + 72^5 + 88^5 +  99^5
%e A345723             = 31^5 + 36^5 + 54^5 + 54^5 + 94^5 +  97^5
%e A345723             = 34^5 + 34^5 + 46^5 + 72^5 + 76^5 + 104^5
%e A345723             = 35^5 + 36^5 + 69^5 + 72^5 + 89^5 +  95^5
%e A345723 so 16933805856 is a term.
%o A345723 (Python)
%o A345723 from itertools import combinations_with_replacement as cwr
%o A345723 from collections import defaultdict
%o A345723 keep = defaultdict(lambda: 0)
%o A345723 power_terms = [x**5 for x in range(1, 1000)]
%o A345723 for pos in cwr(power_terms, 6):
%o A345723     tot = sum(pos)
%o A345723     keep[tot] += 1
%o A345723     rets = sorted([k for k, v in keep.items() if v >= 9])
%o A345723     for x in range(len(rets)):
%o A345723         print(rets[x])
%Y A345723 Cf. A344196, A345566, A345631, A345722, A346364.
%K A345723 nonn
%O A345723 1,1
%A A345723 _David Consiglio, Jr._, Jun 24 2021