A317328 - cp's OEIS frontend

A317328 Total number of distinct run lengths summed over all permutations of [n] with exactly k distinct lengths of increasing runs.

n	a(n)
0	0
1	1
2	2
3	10
4	41
5	238
6	1560
7	11822
8	99884
9	944951
10	9851550
11	112297557
12	1389182296
13	18548151140
14	265854443194
15	4071965025912
16	66379311227650
17	1147606112273168
18	20974771814051529
19	404111977603746584
20	8186206878478673819
21	173948483818885099616
22	3868878742247603336434
23	89892706223315981903289

[0, 1, 2, 10, 41, 238, 1560, 11822, 99884, 944951, 9851550, 112297557, 1389182296, 18548151140, 265854443194, 4071965025912, 66379311227650, 1147606112273168, 20974771814051529, 404111977603746584, 8186206878478673819, 173948483818885099616, 3868878742247603336434, 89892706223315981903289]

cp's OEIS Frontend

A317328 Total number of distinct run lengths summed over all permutations of [n] with exactly k distinct lengths of increasing runs.

Table of values

List of values