A094719 Sum[k=1..n, T(k,n-k+1)], where T is array A094718.
1, 2, 4, 6, 11, 16, 29, 43, 78, 119, 217, 340, 624, 1000, 1847, 3015, 5602, 9282, 17341, 29084, 54605, 92512, 174455, 298110, 564332, 971562, 1845363, 3198129, 6092037, 10621152, 20282470, 35554558, 68042536, 119874493, 229840129
Offset: 1