A049750 a(n)=Sum{T(2i,n-2i): i=0,1,...,[ n/2 ]}, array T as in A049747.

0, 2, 6, 10, 23, 33, 60, 74, 121, 147, 218, 256, 349, 407, 552, 612, 785, 875, 1094, 1210, 1501, 1603, 1948, 2088, 2503, 2677, 3146, 3344, 3891, 4125, 4764, 5014, 5751, 6033, 6850