A047082 Sum{T(n,i): i=0,1,...,[ n/2 ]}, array T as in A047080.

1, 1, 2, 3, 7, 10, 22, 31, 65, 94, 194, 283, 575, 850, 1710, 2551, 5087, 7654, 15154, 22963, 45179, 68890, 134798, 206671, 402429, 620014, 1202034, 1860043, 3591931, 5580130, 10737318, 16740391, 32106833, 50221174, 96031746