A026678 a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026670.

1, 1, 4, 5, 17, 23, 73, 103, 314, 455, 1350, 1993, 5798, 8679, 24872, 37633, 106573, 162643, 456169, 701075, 1950697, 3015563, 8334539, 12948083, 35582783, 55513327, 151809737, 237705547, 647279131, 1016736115, 2758310121