Sum( S(n,k) * M(k-1), k=1..n), where S(n,k) = Stirling numbers of the second kind, M(n) = Motzkin numbers, A001006.

A069657

Sum( S(n,k) * M(k-1), k=1..n), where S(n,k) = Stirling numbers of the second kind, M(n) = Motzkin numbers, A001006.

Terms

    a(0) =0a(1) =1a(2) =2a(3) =6a(4) =24a(5) =115a(6) =628a(7) =3818a(8) =25455a(9) =183968a(10) =1428184a(11) =11824098a(12) =103794727a(13) =961461179a(14) =9360372700a(15) =95448502365

External references