A027235 a(n) = Sum{(k+1)*T(n,k), 0<=k<=n, T given by A026758.

1, 3, 8, 22, 53, 138, 317, 803, 1794, 4478, 9823, 24321, 52662, 129815, 278365, 684689, 1457113, 3581074, 7574863, 18616678, 39182980, 96351078, 201947877, 497006898, 1038017513, 2557192089, 5324505911, 13131212951, 27268815916