A309951 - cp's OEIS frontend

A309951 Irregular triangular array, read by rows: T(n,k) is the sum of the products of multinomial coefficients (n_1 + n_2 + n_3 + ...)!/(n_1! * n_2! * n_3! * ...) taken k at a time, where (n_1, n_2, n_3, ...) runs over all integer partitions of n (n >= 0, 0 <= k <= A000041(n)).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	2
7	1
8	10
9	27
10	18
11	1
12	47
13	718
14	4416
15	10656
16	6912
17	1
18	246
19	20545
20	751800
21	12911500
22	100380000
23	304200000
24	216000000
25	1
26	1602
27	929171
28	260888070
29	39883405500
30	3492052425000
31	177328940580000
32	5153150631600000
33	82577533320000000
34	669410956800000000
35	2224399449600000000
36	1632586752000000000
37	1
38	11481

[1, 1, 1, 1, 1, 3, 2, 1, 10, 27, 18, 1, 47, 718, 4416, 10656, 6912, 1, 246, 20545, 751800, 12911500, 100380000, 304200000, 216000000, 1, 1602, 929171, 260888070, 39883405500, 3492052425000, 177328940580000, 5153150631600000, 82577533320000000, 669410956800000000, 2224399449600000000, 1632586752000000000, 1, 11481]

cp's OEIS Frontend

A309951 Irregular triangular array, read by rows: T(n,k) is the sum of the products of multinomial coefficients (n_1 + n_2 + n_3 + ...)!/(n_1! * n_2! * n_3! * ...) taken k at a time, where (n_1, n_2, n_3, ...) runs over all integer partitions of n (n >= 0, 0 <= k <= A000041(n)).

Table of values

List of values