A327729 - cp's OEIS frontend

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).

n	a(n)
1	1
2	1
3	2
4	6
5	18
6	90
7	414
8	2892
9	18342
10	155124
11	1265130
12	13413240
13	129656286
14	1564538796
15	18285385518
16	255345207156
17	3378398348214
18	52931303772912
19	797460543143154
20	13926097774972152
21	234050020177159926
22	4466082284967035124
23	83159771376289666806

[1, 1, 2, 6, 18, 90, 414, 2892, 18342, 155124, 1265130, 13413240, 129656286, 1564538796, 18285385518, 255345207156, 3378398348214, 52931303772912, 797460543143154, 13926097774972152, 234050020177159926, 4466082284967035124, 83159771376289666806]

cp's OEIS Frontend

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).

Table of values

List of values