A047100 - cp's OEIS frontend

A047100 Array T 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 touches the line y=x/3 only at lattice points.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	4
17	6
18	5
19	3
20	1
21	1
22	5
23	10
24	11
25	5
26	4
27	1
28	1
29	6
30	15
31	21
32	16
33	5
34	5
35	1
36	1
37	7
38	21
39	36
40	37
41	21
42	10
43	6
44	1
45	1
46	8
47	28
48	57
49	73
50	58
51	31
52	16
53	7
54	1
55	1
56	9
57	36
58	85
59	130
60	131
61	89
62	31
63	23
64	8
65	1
66	1
67	10
68	45
69	121
70	215
71	261
72	220

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 2, 1, 1, 4, 6, 5, 3, 1, 1, 5, 10, 11, 5, 4, 1, 1, 6, 15, 21, 16, 5, 5, 1, 1, 7, 21, 36, 37, 21, 10, 6, 1, 1, 8, 28, 57, 73, 58, 31, 16, 7, 1, 1, 9, 36, 85, 130, 131, 89, 31, 23, 8, 1, 1, 10, 45, 121, 215, 261, 220]

cp's OEIS Frontend

A047100 Array T 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 touches the line y=x/3 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	1
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	4
17	6
18	5
19	3
20	1
21	1
22	5
23	10
24	11
25	5
26	4
27	1
28	1
29	6
30	15
31	21
32	16
33	5
34	5
35	1
36	1
37	7
38	21
39	36
40	37
41	21
42	10
43	6
44	1
45	1
46	8
47	28
48	57
49	73
50	58
51	31
52	16
53	7
54	1
55	1
56	9
57	36
58	85
59	130
60	131
61	89
62	31
63	23
64	8
65	1
66	1
67	10
68	45
69	121
70	215
71	261
72	220

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	4
17	6
18	5
19	3
20	1
21	1
22	5
23	10
24	11
25	5
26	4
27	1
28	1
29	6
30	15
31	21
32	16
33	5
34	5
35	1
36	1
37	7
38	21
39	36
40	37
41	21
42	10
43	6
44	1
45	1
46	8
47	28
48	57
49	73
50	58
51	31
52	16
53	7
54	1
55	1
56	9
57	36
58	85
59	130
60	131
61	89
62	31
63	23
64	8
65	1
66	1
67	10
68	45
69	121
70	215
71	261
72	220

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	4
17	6
18	5
19	3
20	1
21	1
22	5
23	10
24	11
25	5
26	4
27	1
28	1
29	6
30	15
31	21
32	16
33	5
34	5
35	1
36	1
37	7
38	21
39	36
40	37
41	21
42	10
43	6
44	1
45	1
46	8
47	28
48	57
49	73
50	58
51	31
52	16
53	7
54	1
55	1
56	9
57	36
58	85
59	130
60	131
61	89
62	31
63	23
64	8
65	1
66	1
67	10
68	45
69	121
70	215
71	261
72	220