A344654 - cp's OEIS frontend

A344654 Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.

n	a(n)
0	0
1	0
2	0
3	1
4	1
5	2
6	4
7	5
8	7
9	11
10	16
11	20
12	28
13	37
14	50
15	65
16	84
17	106
18	140
19	175
20	222
21	277
22	350
23	432
24	539
25	663
26	819
27	999
28	1225
29	1489
30	1816
31	2192
32	2653
33	3191
34	3846
35	4603
36	5516
37	6578
38	7852
39	9327
40	11083
41	13120
42	15532
43	18328
44	21620
45	25430
46	29904
47	35071
48	41110
49	48080

[0, 0, 0, 1, 1, 2, 4, 5, 7, 11, 16, 20, 28, 37, 50, 65, 84, 106, 140, 175, 222, 277, 350, 432, 539, 663, 819, 999, 1225, 1489, 1816, 2192, 2653, 3191, 3846, 4603, 5516, 6578, 7852, 9327, 11083, 13120, 15532, 18328, 21620, 25430, 29904, 35071, 41110, 48080]

cp's OEIS Frontend

A344654 Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.

Table of values

List of values