cp's OEIS Frontend

A341898 Numbers that are the sum of five fourth powers in exactly ten ways.

%I A341898 #15 May 10 2024 02:26:44
%S A341898 954979,1205539,1574850,1713859,1863859,1877394,1882579,2071939,
%T A341898 2109730,2225859,2288179,2419954,2492434,2495939,2605314,2711394,
%U A341898 2784499,2835939,2847394,2880994,2924674,3007474,3061939,3071379,3074179,3117235,3127219,3174834,3190899
%N A341898 Numbers that are the sum of five fourth powers in exactly ten ways.
%C A341898 Differs at term 5 because
%C A341898 1801459 =  1^4 +  4^4 +  5^4 + 28^4 + 33^4
%C A341898         =  1^4 +  4^4 + 12^4 + 23^4 + 35^4
%C A341898         =  1^4 +  7^4 + 16^4 + 30^4 + 31^4
%C A341898         =  1^4 + 16^4 + 18^4 + 19^4 + 35^4
%C A341898         =  3^4 +  6^4 + 18^4 + 21^4 + 35^4
%C A341898         =  5^4 +  7^4 + 19^4 + 24^4 + 34^4
%C A341898         =  5^4 +  9^4 + 14^4 + 29^4 + 32^4
%C A341898         =  7^4 +  9^4 + 16^4 + 25^4 + 34^4
%C A341898         =  7^4 + 14^4 + 16^4 + 21^4 + 35^4
%C A341898         =  8^4 +  9^4 + 20^4 + 29^4 + 31^4
%C A341898         = 10^4 + 19^4 + 19^4 + 21^4 + 34^4.
%H A341898 David Consiglio, Jr., <a href="/A341898/b341898.txt">Table of n, a(n) for n = 1..10000</a>
%e A341898 954979 =  1^4 +  2^4 + 11^4 + 19^4 + 30^4
%e A341898        =  1^4 +  7^4 + 18^4 + 25^4 + 26^4
%e A341898        =  3^4 +  8^4 + 17^4 + 20^4 + 29^4
%e A341898        =  4^4 +  8^4 + 13^4 + 25^4 + 27^4
%e A341898        =  4^4 +  9^4 + 10^4 + 11^4 + 31^4
%e A341898        =  6^4 +  6^4 + 15^4 + 21^4 + 29^4
%e A341898        =  7^4 + 10^4 + 18^4 + 19^4 + 29^4
%e A341898        = 11^4 + 11^4 + 20^4 + 22^4 + 27^4
%e A341898        = 16^4 + 17^4 + 17^4 + 24^4 + 25^4
%e A341898        = 18^4 + 19^4 + 20^4 + 23^4 + 23^4
%e A341898 so 954979 is a term.
%o A341898 (Python)
%o A341898 from itertools import combinations_with_replacement as cwr
%o A341898 from collections import defaultdict
%o A341898 keep = defaultdict(lambda: 0)
%o A341898 power_terms = [x**4 for x in range(1, 1000)]
%o A341898 for pos in cwr(power_terms, 5):
%o A341898     tot = sum(pos)
%o A341898     keep[tot] += 1
%o A341898 rets = sorted([k for k, v in keep.items() if v == 10])
%o A341898 for x in range(len(rets)):
%o A341898     print(rets[x])
%Y A341898 Cf. A341892, A341897, A344929, A345188, A345822.
%K A341898 nonn
%O A341898 1,1
%A A341898 _David Consiglio, Jr._, Jun 04 2021