a(n) = Sum_{p} M(n-k; p_1-1, ..., p_k-1) * Product_{j=1..k} a(p_j), where p = (p_1, ..., p_k) ranges over all partitions of n into smaller parts (k is a partition length and M is a multinomial).
A327729
a(n) = Sum_{p} M(n-k; p_1-1, ..., p_k-1) * Product_{j=1..k} a(p_j), where p = (p_1, ..., p_k) ranges over all partitions of n into smaller parts (k is a partition length and M is a multinomial).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =6a(4) =18a(5) =90a(6) =414a(7) =2892a(8) =18342a(9) =155124a(10) =1265130a(11) =13413240a(12) =129656286a(13) =1564538796a(14) =18285385518a(15) =255345207156
External references
- oeis: A327729