A026700 a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026692.

1, 1, 3, 4, 13, 21, 61, 97, 284, 491, 1360, 2304, 6449, 11558, 31102, 54589, 148614, 272574, 719174, 1292332, 3450546, 6433650, 16729891, 30583194, 80472551, 151929967, 390632864, 723613781, 1882201837, 3588947922