A047101 Sum{T(i,n-i): i=0,1,...,n}, array T as in A047100.

1, 2, 3, 5, 10, 20, 37, 70, 140, 280, 544, 1065, 2130, 4260, 8418, 16684, 33368, 66736, 132760, 264436, 528872, 1057744, 2110233, 4212350, 8424700, 16849400, 33658512, 67254158, 134508316, 269016632, 537715716, 1074932056, 2149864112