A345400 - cp's OEIS frontend

A345400 Number of colored set partitions of [n] where (i mod d) identifies the color of i and d is the number of available colors such that within each block the frequency of all colors is equal.

n	a(n)
0	1
1	1
2	3
3	6
4	19
5	53
6	225
7	878
8	4281
9	21212
10	117489
11	678571
12	4238024
13	27644438
14	191326221
15	1383029112
16	10490101937
17	82864869805
18	682358388107
19	5832742205058
20	51733248275075
21	474870253871245
22	4507061060486642
23	44152005855084347
24	445973953222607799

[1, 1, 3, 6, 19, 53, 225, 878, 4281, 21212, 117489, 678571, 4238024, 27644438, 191326221, 1383029112, 10490101937, 82864869805, 682358388107, 5832742205058, 51733248275075, 474870253871245, 4507061060486642, 44152005855084347, 445973953222607799]

cp's OEIS Frontend

A345400 Number of colored set partitions of [n] where (i mod d) identifies the color of i and d is the number of available colors such that within each block the frequency of all colors is equal.

Table of values

List of values