A268698 - cp's OEIS frontend

A268698 Total number of sequences with p_j copies of j and longest increasing subsequence of length k summed over all partitions [p_1, p_2, ..., p_k] of n.

n	a(n)
0	1
1	1
2	2
3	4
4	13
5	36
6	157
7	554
8	2800
9	12530
10	70772
11	362188
12	2370564
13	13658713
14	95366064
15	642861687
16	4774830263
17	34769374156
18	288999332899
19	2255537559077
20	19693313843687
21	172690825379198
22	1572921138465599
23	14538979953843188
24	145980379536597239

[1, 1, 2, 4, 13, 36, 157, 554, 2800, 12530, 70772, 362188, 2370564, 13658713, 95366064, 642861687, 4774830263, 34769374156, 288999332899, 2255537559077, 19693313843687, 172690825379198, 1572921138465599, 14538979953843188, 145980379536597239]

cp's OEIS Frontend

A268698 Total number of sequences with p_j copies of j and longest increasing subsequence of length k summed over all partitions [p_1, p_2, ..., p_k] of n.

Table of values

List of values