A096608 - cp's OEIS frontend

A096608 Triangle read by rows: T(n,k)=number of Catalan knight paths in right half-plane from (0,0) to (n,k), for 0 <= k <= 2n, n >= 0. (See A096587 for the definition of a Catalan knight.)

n	a(n)
0	1
1	0
2	0
3	1
4	2
5	1
6	0
7	0
8	1
9	0
10	2
11	3
12	2
13	0
14	0
15	1
16	8
17	6
18	1
19	3
20	4
21	3
22	0
23	0
24	1
25	6
26	12
27	16
28	12
29	3
30	4
31	5
32	4
33	0
34	0
35	1
36	44
37	33
38	18
39	21
40	27
41	20
42	6
43	5
44	6
45	5
46	0
47	0
48	1
49	60
50	76
51	95
52	72
53	40
54	34
55	41
56	30
57	10
58	6
59	7
60	6
61	0
62	0
63	1
64	256
65	210
66	154
67	155
68	177
69	135
70	75
71	52
72	58
73	42
74	15
75	7
76	8
77	7
78	0
79	0
80	1
81	460
82	520
83	581
84	480

[1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 3, 2, 0, 0, 1, 8, 6, 1, 3, 4, 3, 0, 0, 1, 6, 12, 16, 12, 3, 4, 5, 4, 0, 0, 1, 44, 33, 18, 21, 27, 20, 6, 5, 6, 5, 0, 0, 1, 60, 76, 95, 72, 40, 34, 41, 30, 10, 6, 7, 6, 0, 0, 1, 256, 210, 154, 155, 177, 135, 75, 52, 58, 42, 15, 7, 8, 7, 0, 0, 1, 460, 520, 581, 480]

cp's OEIS Frontend

A096608 Triangle read by rows: T(n,k)=number of Catalan knight paths in right half-plane from (0,0) to (n,k), for 0 <= k <= 2n, n >= 0. (See A096587 for the definition of a Catalan knight.)

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	1
4	2
5	1
6	0
7	0
8	1
9	0
10	2
11	3
12	2
13	0
14	0
15	1
16	8
17	6
18	1
19	3
20	4
21	3
22	0
23	0
24	1
25	6
26	12
27	16
28	12
29	3
30	4
31	5
32	4
33	0
34	0
35	1
36	44
37	33
38	18
39	21
40	27
41	20
42	6
43	5
44	6
45	5
46	0
47	0
48	1
49	60
50	76
51	95
52	72
53	40
54	34
55	41
56	30
57	10
58	6
59	7
60	6
61	0
62	0
63	1
64	256
65	210
66	154
67	155
68	177
69	135
70	75
71	52
72	58
73	42
74	15
75	7
76	8
77	7
78	0
79	0
80	1
81	460
82	520
83	581
84	480

n	a(n)
0	1
1	0
2	0
3	1
4	2
5	1
6	0
7	0
8	1
9	0
10	2
11	3
12	2
13	0
14	0
15	1
16	8
17	6
18	1
19	3
20	4
21	3
22	0
23	0
24	1
25	6
26	12
27	16
28	12
29	3
30	4
31	5
32	4
33	0
34	0
35	1
36	44
37	33
38	18
39	21
40	27
41	20
42	6
43	5
44	6
45	5
46	0
47	0
48	1
49	60
50	76
51	95
52	72
53	40
54	34
55	41
56	30
57	10
58	6
59	7
60	6
61	0
62	0
63	1
64	256
65	210
66	154
67	155
68	177
69	135
70	75
71	52
72	58
73	42
74	15
75	7
76	8
77	7
78	0
79	0
80	1
81	460
82	520
83	581
84	480

n	a(n)
0	1
1	0
2	0
3	1
4	2
5	1
6	0
7	0
8	1
9	0
10	2
11	3
12	2
13	0
14	0
15	1
16	8
17	6
18	1
19	3
20	4
21	3
22	0
23	0
24	1
25	6
26	12
27	16
28	12
29	3
30	4
31	5
32	4
33	0
34	0
35	1
36	44
37	33
38	18
39	21
40	27
41	20
42	6
43	5
44	6
45	5
46	0
47	0
48	1
49	60
50	76
51	95
52	72
53	40
54	34
55	41
56	30
57	10
58	6
59	7
60	6
61	0
62	0
63	1
64	256
65	210
66	154
67	155
68	177
69	135
70	75
71	52
72	58
73	42
74	15
75	7
76	8
77	7
78	0
79	0
80	1
81	460
82	520
83	581
84	480