A027227 a(n) = Sum{(k+1)*T(n,k), 0<=k<=n, T given by A026747.

1, 3, 10, 25, 71, 166, 444, 1002, 2601, 5742, 14653, 31864, 80472, 173077, 434243, 926144, 2313939, 4902478, 12216163, 25743143, 64042535, 134356858, 333927795, 697932219, 1733779702, 3612110059, 8971527052, 18639230426