A026980 a(n) = Sum{(k+1)*T(n,k)}, 0<=k<=n, T given by A026659.

1, 3, 8, 25, 60, 147, 336, 882, 1960, 4631, 10104, 25207, 54292, 125895, 268576, 653191, 1383228, 3172981, 6679960, 15996204, 33515856, 76350225, 159339600, 377580850, 785368168, 1780545051, 3692982328, 8684805392, 17968562880