A026021 T(n,[ n/2 ]), where T is the array defined in A026009.

1, 1, 2, 3, 6, 10, 19, 34, 62, 117, 207, 407, 704, 1430, 2431, 5070, 8502, 18122, 30056, 65246, 107236, 236436, 385662, 861764, 1396652, 3157325, 5088865, 11622015, 18642420, 42961470, 68624295, 159419670, 253706790, 593636670, 941630580