A127832 - cp's OEIS frontend

A127832 Array T by antidiagonals: for h>=0 and k>=0, T(h,k)=number of UR paths from (0,0) to (h,k) that touch the line y=2x/3 only at lattice points. A UR path is a path of steps of length 1 each directed up or right.

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	2
14	2
15	1
16	1
17	4
18	5
19	4
20	3
21	1
22	1
23	5
24	9
25	9
26	7
27	4
28	1
29	1
30	6
31	14
32	18
33	9
34	11
35	5
36	1
37	1
38	7
39	20
40	32
41	27
42	11
43	16
44	6
45	1
46	1
47	8
48	27
49	52
50	59
51	27
52	27
53	22
54	7
55	1
56	1
57	9
58	35
59	79
60	111
61	86
62	54
63	49
64	29
65	8
66	1
67	1
68	10
69	44
70	114
71	190
72	197
73	140
74	103
75	78
76	37
77	9
78	1
79	1
80	11
81	54
82	158
83	304
84	387

[0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 4, 5, 4, 3, 1, 1, 5, 9, 9, 7, 4, 1, 1, 6, 14, 18, 9, 11, 5, 1, 1, 7, 20, 32, 27, 11, 16, 6, 1, 1, 8, 27, 52, 59, 27, 27, 22, 7, 1, 1, 9, 35, 79, 111, 86, 54, 49, 29, 8, 1, 1, 10, 44, 114, 190, 197, 140, 103, 78, 37, 9, 1, 1, 11, 54, 158, 304, 387]

cp's OEIS Frontend

A127832 Array T by antidiagonals: for h>=0 and k>=0, T(h,k)=number of UR paths from (0,0) to (h,k) that touch the line y=2x/3 only at lattice points. A UR path is a path of steps of length 1 each directed up or right.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	2
14	2
15	1
16	1
17	4
18	5
19	4
20	3
21	1
22	1
23	5
24	9
25	9
26	7
27	4
28	1
29	1
30	6
31	14
32	18
33	9
34	11
35	5
36	1
37	1
38	7
39	20
40	32
41	27
42	11
43	16
44	6
45	1
46	1
47	8
48	27
49	52
50	59
51	27
52	27
53	22
54	7
55	1
56	1
57	9
58	35
59	79
60	111
61	86
62	54
63	49
64	29
65	8
66	1
67	1
68	10
69	44
70	114
71	190
72	197
73	140
74	103
75	78
76	37
77	9
78	1
79	1
80	11
81	54
82	158
83	304
84	387

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	2
14	2
15	1
16	1
17	4
18	5
19	4
20	3
21	1
22	1
23	5
24	9
25	9
26	7
27	4
28	1
29	1
30	6
31	14
32	18
33	9
34	11
35	5
36	1
37	1
38	7
39	20
40	32
41	27
42	11
43	16
44	6
45	1
46	1
47	8
48	27
49	52
50	59
51	27
52	27
53	22
54	7
55	1
56	1
57	9
58	35
59	79
60	111
61	86
62	54
63	49
64	29
65	8
66	1
67	1
68	10
69	44
70	114
71	190
72	197
73	140
74	103
75	78
76	37
77	9
78	1
79	1
80	11
81	54
82	158
83	304
84	387

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	2
14	2
15	1
16	1
17	4
18	5
19	4
20	3
21	1
22	1
23	5
24	9
25	9
26	7
27	4
28	1
29	1
30	6
31	14
32	18
33	9
34	11
35	5
36	1
37	1
38	7
39	20
40	32
41	27
42	11
43	16
44	6
45	1
46	1
47	8
48	27
49	52
50	59
51	27
52	27
53	22
54	7
55	1
56	1
57	9
58	35
59	79
60	111
61	86
62	54
63	49
64	29
65	8
66	1
67	1
68	10
69	44
70	114
71	190
72	197
73	140
74	103
75	78
76	37
77	9
78	1
79	1
80	11
81	54
82	158
83	304
84	387