A125778 - cp's OEIS frontend

A125778 Array T 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 right-step crosses the line y=3x/2. (Thus a path crosses the line only at lattice points and on up-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	10
25	9
26	5
27	1
28	1
29	6
30	14
31	10
32	19
33	14
34	6
35	1
36	1
37	7
38	20
39	24
40	29
41	33
42	20
43	7
44	1
45	1
46	8
47	27
48	44
49	29
50	62
51	53
52	27
53	8
54	1
55	1
56	9
57	35
58	71
59	73
60	91
61	115
62	80
63	35
64	9
65	1
66	1
67	10
68	44
69	106
70	144
71	164
72	206
73	195
74	115
75	44
76	10
77	1
78	1
79	11
80	54
81	150

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 3, 1, 1, 4, 5, 5, 4, 1, 1, 5, 9, 10, 9, 5, 1, 1, 6, 14, 10, 19, 14, 6, 1, 1, 7, 20, 24, 29, 33, 20, 7, 1, 1, 8, 27, 44, 29, 62, 53, 27, 8, 1, 1, 9, 35, 71, 73, 91, 115, 80, 35, 9, 1, 1, 10, 44, 106, 144, 164, 206, 195, 115, 44, 10, 1, 1, 11, 54, 150]

cp's OEIS Frontend

A125778 Array T 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 right-step crosses the line y=3x/2. (Thus a path crosses the line only at lattice points and on up-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	10
25	9
26	5
27	1
28	1
29	6
30	14
31	10
32	19
33	14
34	6
35	1
36	1
37	7
38	20
39	24
40	29
41	33
42	20
43	7
44	1
45	1
46	8
47	27
48	44
49	29
50	62
51	53
52	27
53	8
54	1
55	1
56	9
57	35
58	71
59	73
60	91
61	115
62	80
63	35
64	9
65	1
66	1
67	10
68	44
69	106
70	144
71	164
72	206
73	195
74	115
75	44
76	10
77	1
78	1
79	11
80	54
81	150

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	10
25	9
26	5
27	1
28	1
29	6
30	14
31	10
32	19
33	14
34	6
35	1
36	1
37	7
38	20
39	24
40	29
41	33
42	20
43	7
44	1
45	1
46	8
47	27
48	44
49	29
50	62
51	53
52	27
53	8
54	1
55	1
56	9
57	35
58	71
59	73
60	91
61	115
62	80
63	35
64	9
65	1
66	1
67	10
68	44
69	106
70	144
71	164
72	206
73	195
74	115
75	44
76	10
77	1
78	1
79	11
80	54
81	150

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	10
25	9
26	5
27	1
28	1
29	6
30	14
31	10
32	19
33	14
34	6
35	1
36	1
37	7
38	20
39	24
40	29
41	33
42	20
43	7
44	1
45	1
46	8
47	27
48	44
49	29
50	62
51	53
52	27
53	8
54	1
55	1
56	9
57	35
58	71
59	73
60	91
61	115
62	80
63	35
64	9
65	1
66	1
67	10
68	44
69	106
70	144
71	164
72	206
73	195
74	115
75	44
76	10
77	1
78	1
79	11
80	54
81	150