A049631 a(n)=Sum{T(2i+1,n-2i-1): i=0,1,...,[ (n+1)/2 ]}, array T as in A049627.

0, 2, 4, 7, 12, 17, 26, 34, 50, 61, 84, 100, 132, 154, 198, 224, 280, 314, 384, 427, 514, 563, 666, 726, 848, 918, 1062, 1141, 1306, 1399, 1586, 1694, 1912, 2030, 2274, 2404, 2672, 2820