A027333 a(n) = Sum{(k+1)*T(n,k)}, 0<=k<=m, where m=0 for n=1; m=n+1 for n >= 2; T given by A026148.

1, 3, 18, 65, 230, 783, 2612, 8573, 27810, 89386, 285214, 904671, 2855438, 8975432, 28112778, 87786759, 273402138, 849498192, 2634067338, 8152533735, 25190812134, 77722369419, 239477564892, 736972233435