Sum of multinomial coefficients (n_1+n_2+...)!/(n_1!*n_2!*...) where (n_1, n_2, ...) runs over all integer partitions of n.

A005651

Sum of multinomial coefficients (n_1+n_2+...)!/(n_1!*n_2!*...) where (n_1, n_2, ...) runs over all integer partitions of n.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =10a(4) =47a(5) =246a(6) =1602a(7) =11481a(8) =95503a(9) =871030a(10) =8879558a(11) =98329551a(12) =1191578522a(13) =15543026747a(14) =218668538441

External references