A027219 a(n) = Sum{(k+1)*T(n,k), 0<=k<=n, T given by A026736.

1, 3, 8, 20, 50, 117, 283, 639, 1512, 3338, 7774, 16898, 38884, 83566, 190488, 405848, 918120, 1942813, 4367665, 9191499, 20555546, 43061789, 95874233, 200083005, 443770612, 923124007, 2040635445, 4233080627, 9330343290