A096587 - cp's OEIS frontend

A096587 Triangle read by rows: T(n,k)=number of Catalan knight paths in Quadrant I from (0,0) to (n,k), for 0 <= k <= 2*n, n >= 0. A Catalan knight moves (1 right and 2 up) or (1 right and 2 down) or (2 right and 1 up) or (2 right and 1 down).

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	0
10	1
11	2
12	2
13	0
14	0
15	1
16	3
17	3
18	1
19	2
20	3
21	3
22	0
23	0
24	1
25	2
26	4
27	9
28	8
29	3
30	3
31	4
32	4
33	0
34	0
35	1
36	12
37	12
38	10
39	11
40	18
41	15
42	6
43	4
44	5
45	5
46	0
47	0
48	1
49	14
50	22
51	42
52	39
53	27
54	22
55	30
56	24
57	10
58	5
59	6
60	6
61	0
62	0
63	1
64	54
65	61
66	64
67	72
68	98
69	87
70	56
71	38
72	45
73	35
74	15
75	6
76	7
77	7
78	0
79	0
80	1
81	86
82	128
83	213
84	217
85	181
86	167

[1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 3, 3, 1, 2, 3, 3, 0, 0, 1, 2, 4, 9, 8, 3, 3, 4, 4, 0, 0, 1, 12, 12, 10, 11, 18, 15, 6, 4, 5, 5, 0, 0, 1, 14, 22, 42, 39, 27, 22, 30, 24, 10, 5, 6, 6, 0, 0, 1, 54, 61, 64, 72, 98, 87, 56, 38, 45, 35, 15, 6, 7, 7, 0, 0, 1, 86, 128, 213, 217, 181, 167]

cp's OEIS Frontend

A096587 Triangle read by rows: T(n,k)=number of Catalan knight paths in Quadrant I from (0,0) to (n,k), for 0 <= k <= 2*n, n >= 0. A Catalan knight moves (1 right and 2 up) or (1 right and 2 down) or (2 right and 1 up) or (2 right and 1 down).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	0
10	1
11	2
12	2
13	0
14	0
15	1
16	3
17	3
18	1
19	2
20	3
21	3
22	0
23	0
24	1
25	2
26	4
27	9
28	8
29	3
30	3
31	4
32	4
33	0
34	0
35	1
36	12
37	12
38	10
39	11
40	18
41	15
42	6
43	4
44	5
45	5
46	0
47	0
48	1
49	14
50	22
51	42
52	39
53	27
54	22
55	30
56	24
57	10
58	5
59	6
60	6
61	0
62	0
63	1
64	54
65	61
66	64
67	72
68	98
69	87
70	56
71	38
72	45
73	35
74	15
75	6
76	7
77	7
78	0
79	0
80	1
81	86
82	128
83	213
84	217
85	181
86	167

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	0
10	1
11	2
12	2
13	0
14	0
15	1
16	3
17	3
18	1
19	2
20	3
21	3
22	0
23	0
24	1
25	2
26	4
27	9
28	8
29	3
30	3
31	4
32	4
33	0
34	0
35	1
36	12
37	12
38	10
39	11
40	18
41	15
42	6
43	4
44	5
45	5
46	0
47	0
48	1
49	14
50	22
51	42
52	39
53	27
54	22
55	30
56	24
57	10
58	5
59	6
60	6
61	0
62	0
63	1
64	54
65	61
66	64
67	72
68	98
69	87
70	56
71	38
72	45
73	35
74	15
75	6
76	7
77	7
78	0
79	0
80	1
81	86
82	128
83	213
84	217
85	181
86	167

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	0
10	1
11	2
12	2
13	0
14	0
15	1
16	3
17	3
18	1
19	2
20	3
21	3
22	0
23	0
24	1
25	2
26	4
27	9
28	8
29	3
30	3
31	4
32	4
33	0
34	0
35	1
36	12
37	12
38	10
39	11
40	18
41	15
42	6
43	4
44	5
45	5
46	0
47	0
48	1
49	14
50	22
51	42
52	39
53	27
54	22
55	30
56	24
57	10
58	5
59	6
60	6
61	0
62	0
63	1
64	54
65	61
66	64
67	72
68	98
69	87
70	56
71	38
72	45
73	35
74	15
75	6
76	7
77	7
78	0
79	0
80	1
81	86
82	128
83	213
84	217
85	181
86	167