A332745 - cp's OEIS frontend

A332745 Number of integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	7
6	11
7	15
8	21
9	29
10	39
11	51
12	68
13	87
14	113
15	143
16	183
17	228
18	289
19	354
20	443
21	544
22	672
23	812
24	1001
25	1202
26	1466
27	1758
28	2123
29	2525
30	3046
31	3606
32	4308
33	5089
34	6054
35	7102
36	8430
37	9855
38	11621
39	13571
40	15915
41	18500
42	21673
43	25103
44	29245
45	33835
46	39296
47	45277
48	52470

[1, 1, 2, 3, 5, 7, 11, 15, 21, 29, 39, 51, 68, 87, 113, 143, 183, 228, 289, 354, 443, 544, 672, 812, 1001, 1202, 1466, 1758, 2123, 2525, 3046, 3606, 4308, 5089, 6054, 7102, 8430, 9855, 11621, 13571, 15915, 18500, 21673, 25103, 29245, 33835, 39296, 45277, 52470]

cp's OEIS Frontend

A332745 Number of integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing.

Table of values

List of values