A374406 - OEIS

%I #23 Jul 08 2024 08:53:48

%S 1,3,3,2,3,3,3,5,3,2,6,5,3,3,1,5,9,5,3,5,5,4,7,3,2,9,5,4,5,6,6,8,8,2,

%T 6,4,5,11,8,3,6,5,4,9,4,7,11,8,2,5,8,7,13,5,6,10,7,6,4,7,8,9,4,2,11,

%U 12,5,12,6,3,15,10,6,9,7,4,12,6,5,8,9,10,14,7,4,15,4,9,7,4,5,12,15,7,10,10,7,13,10,3

%N Number of ways to write n as an ordered sum of a triangular number, a square and a hexagonal number.

%H Seiichi Manyama, <a href="/A374406/b374406.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: (Sum_{k>=0} x^(k*(k+1)/2)) * (Sum_{k>=0} x^(k^2)) * (Sum_{k>=0} x^(k*(2*k-1))).

%Y Cf. A000217, A000290, A000384, A160324, A240088.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Jul 08 2024