A047877 a(n)=(1/2)*Sum{T(i,n-i): i=0,1,...,n}, array T as in A049604.

0, 3, 4, 4, 6, 9, 11, 14, 18, 21, 26, 32, 34, 41, 49, 52, 59, 69, 73, 82, 92, 97, 108, 120, 124, 137, 151, 156, 169, 185, 191, 206, 222, 229, 246, 264, 270, 289, 309, 316, 335, 357, 365, 386, 408, 417, 440, 464, 472, 497, 523