A123514 - cp's OEIS frontend

A123514 Triangle read by rows: T(n,k) is the number of involutions of {1,2,...,n} with exactly k fixed points and which contain the pattern 321 exactly once (n>=3; 1<=k<=n-2).

n	a(n)
3	1
4	0
5	2
6	4
7	0
8	3
9	0
10	10
11	0
12	4
13	14
14	0
15	18
16	0
17	5
18	0
19	40
20	0
21	28
22	0
23	6
24	48
25	0
26	81
27	0
28	40
29	0
30	7
31	0
32	150
33	0
34	140
35	0
36	54
37	0
38	8
39	165
40	0
41	330
42	0
43	220
44	0
45	70
46	0
47	9
48	0
49	550
50	0
51	616
52	0
53	324
54	0
55	88
56	0
57	10
58	572
59	0
60	1287
61	0
62	1040
63	0
64	455
65	0
66	108
67	0
68	11
69	0
70	2002
71	0
72	2548
73	0
74	1638
75	0
76	616
77	0
78	130
79	0
80	12

[1, 0, 2, 4, 0, 3, 0, 10, 0, 4, 14, 0, 18, 0, 5, 0, 40, 0, 28, 0, 6, 48, 0, 81, 0, 40, 0, 7, 0, 150, 0, 140, 0, 54, 0, 8, 165, 0, 330, 0, 220, 0, 70, 0, 9, 0, 550, 0, 616, 0, 324, 0, 88, 0, 10, 572, 0, 1287, 0, 1040, 0, 455, 0, 108, 0, 11, 0, 2002, 0, 2548, 0, 1638, 0, 616, 0, 130, 0, 12]

cp's OEIS Frontend

A123514 Triangle read by rows: T(n,k) is the number of involutions of {1,2,...,n} with exactly k fixed points and which contain the pattern 321 exactly once (n>=3; 1<=k<=n-2).

Table of values

List of values