A268700 - cp's OEIS frontend

A268700 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 into distinct parts.

n	a(n)
0	1
1	1
2	1
3	3
4	4
5	14
6	46
7	111
8	330
9	1614
10	7348
11	21340
12	98145
13	379405
14	2633085
15	14871033
16	57284558
17	278927415
18	1609313975
19	8289565670
20	74945364815
21	522977754235
22	2403799401259
23	14180489136597
24	83964652635668
25	623008803758260
26	3918144764978718
27	46950727351392315

[1, 1, 1, 3, 4, 14, 46, 111, 330, 1614, 7348, 21340, 98145, 379405, 2633085, 14871033, 57284558, 278927415, 1609313975, 8289565670, 74945364815, 522977754235, 2403799401259, 14180489136597, 83964652635668, 623008803758260, 3918144764978718, 46950727351392315]

cp's OEIS Frontend

A268700 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 into distinct parts.

Table of values

List of values