A327680 - cp's OEIS frontend

A327680 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 parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order.

n	a(n)
0	0
1	1
2	7
3	44
4	358
5	2904
6	29112
7	296448
8	3520568
9	43482208
10	602603120
11	8712724080
12	138736978208
13	2302036052128
14	41417364992160
15	776413790063328
16	15597709327298944
17	325945020056535968
18	7238587734613470208
19	166897326948551436384
20	4061690336695535982048

[0, 1, 7, 44, 358, 2904, 29112, 296448, 3520568, 43482208, 602603120, 8712724080, 138736978208, 2302036052128, 41417364992160, 776413790063328, 15597709327298944, 325945020056535968, 7238587734613470208, 166897326948551436384, 4061690336695535982048]

cp's OEIS Frontend

A327680 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 parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order.

Table of values

List of values