A047080 - cp's OEIS frontend

A047080 Triangular array T read by rows: T(h,k)=number of paths from (0,0) to (k,h-k) using step-vectors (0,1), (1,0), (1,1) with no right angles between pairs of consecutive 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	3
13	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	8
24	9
25	8
26	5
27	1
28	1
29	6
30	12
31	15
32	15
33	12
34	6
35	1
36	1
37	7
38	17
39	24
40	27
41	24
42	17
43	7
44	1
45	1
46	8
47	23
48	37
49	46
50	46
51	37
52	23
53	8
54	1
55	1
56	9
57	30
58	55
59	75
60	83
61	75
62	55
63	30
64	9
65	1
66	1
67	10
68	38
69	79
70	118
71	143
72	143
73	118
74	79
75	38
76	10
77	1

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 3, 1, 1, 4, 5, 5, 4, 1, 1, 5, 8, 9, 8, 5, 1, 1, 6, 12, 15, 15, 12, 6, 1, 1, 7, 17, 24, 27, 24, 17, 7, 1, 1, 8, 23, 37, 46, 46, 37, 23, 8, 1, 1, 9, 30, 55, 75, 83, 75, 55, 30, 9, 1, 1, 10, 38, 79, 118, 143, 143, 118, 79, 38, 10, 1]

cp's OEIS Frontend

A047080 Triangular array T read by rows: T(h,k)=number of paths from (0,0) to (k,h-k) using step-vectors (0,1), (1,0), (1,1) with no right angles between pairs of consecutive 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	3
13	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	8
24	9
25	8
26	5
27	1
28	1
29	6
30	12
31	15
32	15
33	12
34	6
35	1
36	1
37	7
38	17
39	24
40	27
41	24
42	17
43	7
44	1
45	1
46	8
47	23
48	37
49	46
50	46
51	37
52	23
53	8
54	1
55	1
56	9
57	30
58	55
59	75
60	83
61	75
62	55
63	30
64	9
65	1
66	1
67	10
68	38
69	79
70	118
71	143
72	143
73	118
74	79
75	38
76	10
77	1

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	3
13	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	8
24	9
25	8
26	5
27	1
28	1
29	6
30	12
31	15
32	15
33	12
34	6
35	1
36	1
37	7
38	17
39	24
40	27
41	24
42	17
43	7
44	1
45	1
46	8
47	23
48	37
49	46
50	46
51	37
52	23
53	8
54	1
55	1
56	9
57	30
58	55
59	75
60	83
61	75
62	55
63	30
64	9
65	1
66	1
67	10
68	38
69	79
70	118
71	143
72	143
73	118
74	79
75	38
76	10
77	1

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	3
13	3
14	1
15	1
16	4
17	5
18	5
19	4
20	1
21	1
22	5
23	8
24	9
25	8
26	5
27	1
28	1
29	6
30	12
31	15
32	15
33	12
34	6
35	1
36	1
37	7
38	17
39	24
40	27
41	24
42	17
43	7
44	1
45	1
46	8
47	23
48	37
49	46
50	46
51	37
52	23
53	8
54	1
55	1
56	9
57	30
58	55
59	75
60	83
61	75
62	55
63	30
64	9
65	1
66	1
67	10
68	38
69	79
70	118
71	143
72	143
73	118
74	79
75	38
76	10
77	1