A327584 - cp's OEIS frontend

A327584 Number T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i have i distinct colors in increasing order; triangle T(n,k), k>=0, k<=n<=k*2^(k-1), read by columns.

n	a(n)
0	1
1	1
2	3
3	4
4	6
5	13
6	48
7	150
8	300
9	666
10	936
11	1824
12	2520
13	2160
14	5040
15	75
16	536
17	2820
18	11144
19	41346
20	131304
21	420084
22	1191552
23	3427008
24	9207456
25	23466720
26	61522560
27	141553560
28	345346560
29	777152160
30	1635096960
31	3700806480
32	6998261760
33	14211912960
34	27442437120

[1, 1, 3, 4, 6, 13, 48, 150, 300, 666, 936, 1824, 2520, 2160, 5040, 75, 536, 2820, 11144, 41346, 131304, 420084, 1191552, 3427008, 9207456, 23466720, 61522560, 141553560, 345346560, 777152160, 1635096960, 3700806480, 6998261760, 14211912960, 27442437120]

cp's OEIS Frontend

A327584 Number T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i have i distinct colors in increasing order; triangle T(n,k), k>=0, k<=n<=k*2^(k-1), read by columns.

Table of values

List of values