A047000 - cp's OEIS frontend

A047000 Array T read by diagonals; T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no step touches the line y=x/2 except at the endpoints.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	2
13	1
14	1
15	1
16	4
17	5
18	2
19	2
20	1
21	1
22	5
23	9
24	7
25	4
26	3
27	1
28	1
29	6
30	14
31	16
32	7
33	3
34	4
35	1
36	1
37	7
38	20
39	30
40	23
41	7
42	7
43	5
44	1
45	1
46	8
47	27
48	50
49	53
50	30
51	14
52	12
53	6
54	1
55	1
56	9
57	35
58	77
59	103
60	83
61	30
62	12
63	18
64	7
65	1
66	1
67	10
68	44
69	112
70	180
71	186
72	113
73	30
74	30

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 1, 1, 1, 4, 5, 2, 2, 1, 1, 5, 9, 7, 4, 3, 1, 1, 6, 14, 16, 7, 3, 4, 1, 1, 7, 20, 30, 23, 7, 7, 5, 1, 1, 8, 27, 50, 53, 30, 14, 12, 6, 1, 1, 9, 35, 77, 103, 83, 30, 12, 18, 7, 1, 1, 10, 44, 112, 180, 186, 113, 30, 30]

cp's OEIS Frontend

A047000 Array T read by diagonals; T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no step touches the line y=x/2 except at the endpoints.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	2
13	1
14	1
15	1
16	4
17	5
18	2
19	2
20	1
21	1
22	5
23	9
24	7
25	4
26	3
27	1
28	1
29	6
30	14
31	16
32	7
33	3
34	4
35	1
36	1
37	7
38	20
39	30
40	23
41	7
42	7
43	5
44	1
45	1
46	8
47	27
48	50
49	53
50	30
51	14
52	12
53	6
54	1
55	1
56	9
57	35
58	77
59	103
60	83
61	30
62	12
63	18
64	7
65	1
66	1
67	10
68	44
69	112
70	180
71	186
72	113
73	30
74	30

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	2
13	1
14	1
15	1
16	4
17	5
18	2
19	2
20	1
21	1
22	5
23	9
24	7
25	4
26	3
27	1
28	1
29	6
30	14
31	16
32	7
33	3
34	4
35	1
36	1
37	7
38	20
39	30
40	23
41	7
42	7
43	5
44	1
45	1
46	8
47	27
48	50
49	53
50	30
51	14
52	12
53	6
54	1
55	1
56	9
57	35
58	77
59	103
60	83
61	30
62	12
63	18
64	7
65	1
66	1
67	10
68	44
69	112
70	180
71	186
72	113
73	30
74	30

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	2
13	1
14	1
15	1
16	4
17	5
18	2
19	2
20	1
21	1
22	5
23	9
24	7
25	4
26	3
27	1
28	1
29	6
30	14
31	16
32	7
33	3
34	4
35	1
36	1
37	7
38	20
39	30
40	23
41	7
42	7
43	5
44	1
45	1
46	8
47	27
48	50
49	53
50	30
51	14
52	12
53	6
54	1
55	1
56	9
57	35
58	77
59	103
60	83
61	30
62	12
63	18
64	7
65	1
66	1
67	10
68	44
69	112
70	180
71	186
72	113
73	30
74	30