cp's OEIS Frontend

A341897 Numbers that are the sum of five fourth powers in ten or more ways.

%I A341897 #16 May 10 2024 02:27:06
%S A341897 954979,1205539,1574850,1713859,1801459,1863859,1877394,1882579,
%T A341897 2071939,2109730,2138419,2142594,2157874,2225859,2288179,2419954,
%U A341897 2492434,2495939,2605314,2663539,2711394,2784499,2835939,2847394,2849859,2880994,2919154,2924674,3007474
%N A341897 Numbers that are the sum of five fourth powers in ten or more ways.
%H A341897 David Consiglio, Jr., <a href="/A341897/b341897.txt">Table of n, a(n) for n = 1..10000</a>
%e A341897 954979 =  1^4 +  2^4 + 11^4 + 19^4 + 30^4
%e A341897        =  1^4 +  7^4 + 18^4 + 25^4 + 26^4
%e A341897        =  3^4 +  8^4 + 17^4 + 20^4 + 29^4
%e A341897        =  4^4 +  8^4 + 13^4 + 25^4 + 27^4
%e A341897        =  4^4 +  9^4 + 10^4 + 11^4 + 31^4
%e A341897        =  6^4 +  6^4 + 15^4 + 21^4 + 29^4
%e A341897        =  7^4 + 10^4 + 18^4 + 19^4 + 29^4
%e A341897        = 11^4 + 11^4 + 20^4 + 22^4 + 27^4
%e A341897        = 16^4 + 17^4 + 17^4 + 24^4 + 25^4
%e A341897        = 18^4 + 19^4 + 20^4 + 23^4 + 23^4
%e A341897 so 954979 is a term.
%o A341897 (Python)
%o A341897 from itertools import combinations_with_replacement as cwr
%o A341897 from collections import defaultdict
%o A341897 keep = defaultdict(lambda: 0)
%o A341897 power_terms = [x**4 for x in range(1, 1000)]
%o A341897 for pos in cwr(power_terms, 5):
%o A341897     tot = sum(pos)
%o A341897     keep[tot] += 1
%o A341897 rets = sorted([k for k, v in keep.items() if v >= 10])
%o A341897 for x in range(len(rets)):
%o A341897     print(rets[x])
%Y A341897 Cf. A341891, A341898, A344928, A345187, A345567.
%K A341897 nonn
%O A341897 1,1
%A A341897 _David Consiglio, Jr._, Jun 04 2021