A047130 - cp's OEIS frontend

A047130 Array read by descending antidiagonals: T(h,k) is the 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 up-step crosses the line y = 3x/4. (Thus a path crosses the line only at lattice points and on right-steps.)

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	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	9
24	5
25	9
26	5
27	1
28	1
29	6
30	14
31	14
32	14
33	14
34	6
35	1
36	1
37	7
38	20
39	28
40	28
41	28
42	20
43	7
44	1
45	1
46	8
47	27
48	48
49	56
50	28
51	48
52	27
53	8
54	1
55	1
56	9
57	35
58	75
59	104
60	84
61	76
62	75
63	35
64	9
65	1
66	1
67	10
68	44
69	110
70	179
71	188
72	84

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 3, 1, 1, 4, 5, 5, 4, 1, 1, 5, 9, 5, 9, 5, 1, 1, 6, 14, 14, 14, 14, 6, 1, 1, 7, 20, 28, 28, 28, 20, 7, 1, 1, 8, 27, 48, 56, 28, 48, 27, 8, 1, 1, 9, 35, 75, 104, 84, 76, 75, 35, 9, 1, 1, 10, 44, 110, 179, 188, 84]

cp's OEIS Frontend

A047130 Array read by descending antidiagonals: T(h,k) is the 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 up-step crosses the line y = 3x/4. (Thus a path crosses the line only at lattice points and on right-steps.)

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	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	9
24	5
25	9
26	5
27	1
28	1
29	6
30	14
31	14
32	14
33	14
34	6
35	1
36	1
37	7
38	20
39	28
40	28
41	28
42	20
43	7
44	1
45	1
46	8
47	27
48	48
49	56
50	28
51	48
52	27
53	8
54	1
55	1
56	9
57	35
58	75
59	104
60	84
61	76
62	75
63	35
64	9
65	1
66	1
67	10
68	44
69	110
70	179
71	188
72	84

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	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	9
24	5
25	9
26	5
27	1
28	1
29	6
30	14
31	14
32	14
33	14
34	6
35	1
36	1
37	7
38	20
39	28
40	28
41	28
42	20
43	7
44	1
45	1
46	8
47	27
48	48
49	56
50	28
51	48
52	27
53	8
54	1
55	1
56	9
57	35
58	75
59	104
60	84
61	76
62	75
63	35
64	9
65	1
66	1
67	10
68	44
69	110
70	179
71	188
72	84

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	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	9
24	5
25	9
26	5
27	1
28	1
29	6
30	14
31	14
32	14
33	14
34	6
35	1
36	1
37	7
38	20
39	28
40	28
41	28
42	20
43	7
44	1
45	1
46	8
47	27
48	48
49	56
50	28
51	48
52	27
53	8
54	1
55	1
56	9
57	35
58	75
59	104
60	84
61	76
62	75
63	35
64	9
65	1
66	1
67	10
68	44
69	110
70	179
71	188
72	84