A327115 - cp's OEIS frontend

A327115 Total number of colors used in all colored integer partitions of n using all colors of an initial interval of the color palette such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order.

n	a(n)
0	0
1	1
2	4
3	19
4	98
5	570
6	3642
7	25292
8	189454
9	1519648
10	12978141
11	117437020
12	1121299471
13	11256640012
14	118443403699
15	1302670531063
16	14938986954323
17	178248001223476
18	2208487163394749
19	28363722744050886
20	376991516806826090
21	5178009641895235269
22	73396161423153313320

[0, 1, 4, 19, 98, 570, 3642, 25292, 189454, 1519648, 12978141, 117437020, 1121299471, 11256640012, 118443403699, 1302670531063, 14938986954323, 178248001223476, 2208487163394749, 28363722744050886, 376991516806826090, 5178009641895235269, 73396161423153313320]

cp's OEIS Frontend

A327115 Total number of colors used in all colored integer partitions of n using all colors of an initial interval of the color palette such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order.

Table of values

List of values