A344740 - cp's OEIS frontend

A344740 Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	5
6	7
7	10
8	15
9	19
10	26
11	36
12	49
13	64
14	85
15	111
16	147
17	191
18	245
19	315
20	405
21	515
22	652
23	823
24	1036
25	1295
26	1617
27	2011
28	2493
29	3076
30	3788
31	4650
32	5696
33	6952
34	8464
35	10280
36	12461
37	15059
38	18163
39	21858
40	26255
41	31463
42	37642
43	44933
44	53555
45	63704
46	75654
47	89683
48	106163
49	125445
50	148021

[1, 1, 2, 2, 4, 5, 7, 10, 15, 19, 26, 36, 49, 64, 85, 111, 147, 191, 245, 315, 405, 515, 652, 823, 1036, 1295, 1617, 2011, 2493, 3076, 3788, 4650, 5696, 6952, 8464, 10280, 12461, 15059, 18163, 21858, 26255, 31463, 37642, 44933, 53555, 63704, 75654, 89683, 106163, 125445, 148021]

cp's OEIS Frontend

A344740 Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.

Table of values

List of values