A047089 - cp's OEIS frontend

A047089 Array T read by antidiagonals: 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 touches the line y=x/2 only at lattice points.

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	4
13	3
14	1
15	1
16	4
17	7
18	4
19	4
20	1
21	1
22	5
23	11
24	11
25	8
26	5
27	1
28	1
29	6
30	16
31	22
32	19
33	13
34	6
35	1
36	1
37	7
38	22
39	38
40	41
41	19
42	19
43	7
44	1
45	1
46	8
47	29
48	60
49	79
50	60
51	38
52	26
53	8
54	1
55	1
56	9
57	37
58	89
59	139
60	139
61	98
62	64
63	34
64	9
65	1
66	1
67	10
68	46
69	126
70	228
71	278
72	237
73	98
74	98
75	43
76	10
77	1
78	1
79	11
80	56
81	172

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 4, 3, 1, 1, 4, 7, 4, 4, 1, 1, 5, 11, 11, 8, 5, 1, 1, 6, 16, 22, 19, 13, 6, 1, 1, 7, 22, 38, 41, 19, 19, 7, 1, 1, 8, 29, 60, 79, 60, 38, 26, 8, 1, 1, 9, 37, 89, 139, 139, 98, 64, 34, 9, 1, 1, 10, 46, 126, 228, 278, 237, 98, 98, 43, 10, 1, 1, 11, 56, 172]

cp's OEIS Frontend

A047089 Array T read by antidiagonals: 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 touches the line y=x/2 only at lattice points.

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	4
13	3
14	1
15	1
16	4
17	7
18	4
19	4
20	1
21	1
22	5
23	11
24	11
25	8
26	5
27	1
28	1
29	6
30	16
31	22
32	19
33	13
34	6
35	1
36	1
37	7
38	22
39	38
40	41
41	19
42	19
43	7
44	1
45	1
46	8
47	29
48	60
49	79
50	60
51	38
52	26
53	8
54	1
55	1
56	9
57	37
58	89
59	139
60	139
61	98
62	64
63	34
64	9
65	1
66	1
67	10
68	46
69	126
70	228
71	278
72	237
73	98
74	98
75	43
76	10
77	1
78	1
79	11
80	56
81	172

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	4
13	3
14	1
15	1
16	4
17	7
18	4
19	4
20	1
21	1
22	5
23	11
24	11
25	8
26	5
27	1
28	1
29	6
30	16
31	22
32	19
33	13
34	6
35	1
36	1
37	7
38	22
39	38
40	41
41	19
42	19
43	7
44	1
45	1
46	8
47	29
48	60
49	79
50	60
51	38
52	26
53	8
54	1
55	1
56	9
57	37
58	89
59	139
60	139
61	98
62	64
63	34
64	9
65	1
66	1
67	10
68	46
69	126
70	228
71	278
72	237
73	98
74	98
75	43
76	10
77	1
78	1
79	11
80	56
81	172

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	4
13	3
14	1
15	1
16	4
17	7
18	4
19	4
20	1
21	1
22	5
23	11
24	11
25	8
26	5
27	1
28	1
29	6
30	16
31	22
32	19
33	13
34	6
35	1
36	1
37	7
38	22
39	38
40	41
41	19
42	19
43	7
44	1
45	1
46	8
47	29
48	60
49	79
50	60
51	38
52	26
53	8
54	1
55	1
56	9
57	37
58	89
59	139
60	139
61	98
62	64
63	34
64	9
65	1
66	1
67	10
68	46
69	126
70	228
71	278
72	237
73	98
74	98
75	43
76	10
77	1
78	1
79	11
80	56
81	172