A027211 a(n) = Sum{(k+1)*T(n,k), 0<=k<=n, T given by A026725.

1, 3, 8, 22, 53, 136, 312, 768, 1712, 4101, 8971, 21082, 45507, 105435, 225347, 516424, 1095353, 2488480, 5246176, 11834584, 24826412, 55677436, 116321132, 259585768, 540454158, 1201026646, 2493149402, 5520322840, 11430160964