A338914 - cp's OEIS frontend

A338914 Number of integer partitions of n of even length whose greatest multiplicity is at most half their length.

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	2
6	3
7	4
8	6
9	9
10	11
11	16
12	23
13	29
14	39
15	53
16	69
17	90
18	118
19	150
20	195
21	249
22	315
23	398
24	506
25	629
26	789
27	982
28	1219
29	1504
30	1860
31	2277
32	2798
33	3413
34	4161
35	5051
36	6137
37	7406
38	8948
39	10765
40	12943
41	15503
42	18571
43	22153
44	26432
45	31432
46	37352
47	44268
48	52444
49	61944
50	73141

[1, 0, 0, 1, 1, 2, 3, 4, 6, 9, 11, 16, 23, 29, 39, 53, 69, 90, 118, 150, 195, 249, 315, 398, 506, 629, 789, 982, 1219, 1504, 1860, 2277, 2798, 3413, 4161, 5051, 6137, 7406, 8948, 10765, 12943, 15503, 18571, 22153, 26432, 31432, 37352, 44268, 52444, 61944, 73141]

cp's OEIS Frontend

A338914 Number of integer partitions of n of even length whose greatest multiplicity is at most half their length.

Table of values

List of values