A119743 - cp's OEIS frontend

A119743 Triangle read by rows: row n gives number of matchings of size 0<=k<=n (edges) in the complete graph on 2*n >= 2 vertices.

n	a(n)
1	1
2	1
3	1
4	6
5	3
6	1
7	15
8	45
9	15
10	1
11	28
12	210
13	420
14	105
15	1
16	45
17	630
18	3150
19	4725
20	945
21	1
22	66
23	1485
24	13860
25	51975
26	62370
27	10395
28	1
29	91
30	3003
31	45045
32	315315
33	945945
34	945945
35	135135
36	1
37	120
38	5460
39	120120
40	1351350
41	7567560
42	18918900
43	16216200
44	2027025
45	1
46	153
47	9180

[1, 1, 1, 6, 3, 1, 15, 45, 15, 1, 28, 210, 420, 105, 1, 45, 630, 3150, 4725, 945, 1, 66, 1485, 13860, 51975, 62370, 10395, 1, 91, 3003, 45045, 315315, 945945, 945945, 135135, 1, 120, 5460, 120120, 1351350, 7567560, 18918900, 16216200, 2027025, 1, 153, 9180]

cp's OEIS Frontend

A119743 Triangle read by rows: row n gives number of matchings of size 0<=k<=n (edges) in the complete graph on 2*n >= 2 vertices.

Table of values

List of values