cp's OEIS Frontend

A374382 Number of ways to write n as an ordered sum of a triangular number, a square and an odd square.

%I A374382 #14 Jul 07 2024 07:59:22
%S A374382 0,1,2,1,1,2,1,1,2,1,3,4,2,3,1,2,4,2,2,3,4,1,1,3,2,4,5,3,4,4,3,4,4,2,
%T A374382 3,5,2,5,5,2,5,5,1,1,4,3,7,5,1,4,6,5,2,7,5,6,6,2,4,4,5,5,7,2,5,9,3,2,
%U A374382 7,1,5,9,1,6,5,5,4,4,3,7,7,5,5,5,5,5,10,2,7,7,4,8,7,5,4,10,6,4,3,2,9
%N A374382 Number of ways to write n as an ordered sum of a triangular number, a square and an odd square.
%H A374382 Seiichi Manyama, <a href="/A374382/b374382.txt">Table of n, a(n) for n = 0..10000</a>
%F A374382 G.f.: (Sum_{k>=0} x^(k*(k+1)/2)) * (Sum_{k>=0} x^(k^2)) * (Sum_{k>=0} x^((2*k+1)^2)).
%e A374382 2 = A000217(1) + A000290(0) + A016754(0) = A000217(0) + A000290(1) + A016754(0). So a(2) = 2.
%Y A374382 Cf. A000217, A000290, A016754, A101428.
%K A374382 nonn
%O A374382 0,3
%A A374382 _Seiichi Manyama_, Jul 07 2024