A047150 - cp's OEIS frontend

A047150 Array read 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 up-step crosses the line y=5x/3. (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	2
5	1
6	1
7	1
8	3
9	1
10	1
11	2
12	4
13	4
14	1
15	1
16	3
17	6
18	8
19	5
20	1
21	1
22	4
23	3
24	14
25	13
26	6
27	1
28	1
29	5
30	7
31	17
32	27
33	19
34	7
35	1
36	1
37	6
38	12
39	24
40	44
41	46
42	26
43	8
44	1
45	1
46	7
47	18
48	36
49	68
50	90
51	72
52	34
53	9
54	1
55	1
56	8
57	25
58	54
59	104
60	158
61	162
62	106
63	43
64	10
65	1
66	1
67	9
68	33
69	79
70	54
71	262
72	320

[1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 4, 4, 1, 1, 3, 6, 8, 5, 1, 1, 4, 3, 14, 13, 6, 1, 1, 5, 7, 17, 27, 19, 7, 1, 1, 6, 12, 24, 44, 46, 26, 8, 1, 1, 7, 18, 36, 68, 90, 72, 34, 9, 1, 1, 8, 25, 54, 104, 158, 162, 106, 43, 10, 1, 1, 9, 33, 79, 54, 262, 320]

cp's OEIS Frontend

A047150 Array read 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 up-step crosses the line y=5x/3. (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	2
5	1
6	1
7	1
8	3
9	1
10	1
11	2
12	4
13	4
14	1
15	1
16	3
17	6
18	8
19	5
20	1
21	1
22	4
23	3
24	14
25	13
26	6
27	1
28	1
29	5
30	7
31	17
32	27
33	19
34	7
35	1
36	1
37	6
38	12
39	24
40	44
41	46
42	26
43	8
44	1
45	1
46	7
47	18
48	36
49	68
50	90
51	72
52	34
53	9
54	1
55	1
56	8
57	25
58	54
59	104
60	158
61	162
62	106
63	43
64	10
65	1
66	1
67	9
68	33
69	79
70	54
71	262
72	320

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	1
10	1
11	2
12	4
13	4
14	1
15	1
16	3
17	6
18	8
19	5
20	1
21	1
22	4
23	3
24	14
25	13
26	6
27	1
28	1
29	5
30	7
31	17
32	27
33	19
34	7
35	1
36	1
37	6
38	12
39	24
40	44
41	46
42	26
43	8
44	1
45	1
46	7
47	18
48	36
49	68
50	90
51	72
52	34
53	9
54	1
55	1
56	8
57	25
58	54
59	104
60	158
61	162
62	106
63	43
64	10
65	1
66	1
67	9
68	33
69	79
70	54
71	262
72	320

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	1
10	1
11	2
12	4
13	4
14	1
15	1
16	3
17	6
18	8
19	5
20	1
21	1
22	4
23	3
24	14
25	13
26	6
27	1
28	1
29	5
30	7
31	17
32	27
33	19
34	7
35	1
36	1
37	6
38	12
39	24
40	44
41	46
42	26
43	8
44	1
45	1
46	7
47	18
48	36
49	68
50	90
51	72
52	34
53	9
54	1
55	1
56	8
57	25
58	54
59	104
60	158
61	162
62	106
63	43
64	10
65	1
66	1
67	9
68	33
69	79
70	54
71	262
72	320