Sum of multinomials M(n-k; p_1-1, ..., p_k-1), where p = (p_1, ..., p_k) ranges over all partitions of n (k is a partition length).

A327711

Sum of multinomials M(n-k; p_1-1, ..., p_k-1), where p = (p_1, ..., p_k) ranges over all partitions of n (k is a partition length).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =27a(7) =55a(8) =171a(9) =475a(10) =1555a(11) =4915a(12) =20023a(13) =68243a(14) =288024a(15) =1213828a(16) =5435935a(17) =23966970a(18) =121432923a(19) =578757824a(20) =3130381590a(21) =16427772974a(22) =91877826663a(23) =519546134163

External references