A047120 - cp's OEIS frontend

A047120 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/4 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	1
14	1
15	1
16	4
17	6
18	4
19	2
20	1
21	1
22	5
23	10
24	10
25	6
26	3
27	1
28	1
29	6
30	15
31	20
32	16
33	6
34	4
35	1
36	1
37	7
38	21
39	35
40	36
41	22
42	6
43	5
44	1
45	1
46	8
47	28
48	56
49	71
50	58
51	28
52	6
53	6
54	1
55	1
56	9
57	36
58	84
59	127
60	129
61	86
62	34
63	12
64	7
65	1
66	1
67	10
68	45
69	120
70	211
71	256
72	215
73	120
74	46
75	19
76	8
77	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 6, 4, 2, 1, 1, 5, 10, 10, 6, 3, 1, 1, 6, 15, 20, 16, 6, 4, 1, 1, 7, 21, 35, 36, 22, 6, 5, 1, 1, 8, 28, 56, 71, 58, 28, 6, 6, 1, 1, 9, 36, 84, 127, 129, 86, 34, 12, 7, 1, 1, 10, 45, 120, 211, 256, 215, 120, 46, 19, 8, 1]

cp's OEIS Frontend

A047120 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/4 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	1
14	1
15	1
16	4
17	6
18	4
19	2
20	1
21	1
22	5
23	10
24	10
25	6
26	3
27	1
28	1
29	6
30	15
31	20
32	16
33	6
34	4
35	1
36	1
37	7
38	21
39	35
40	36
41	22
42	6
43	5
44	1
45	1
46	8
47	28
48	56
49	71
50	58
51	28
52	6
53	6
54	1
55	1
56	9
57	36
58	84
59	127
60	129
61	86
62	34
63	12
64	7
65	1
66	1
67	10
68	45
69	120
70	211
71	256
72	215
73	120
74	46
75	19
76	8
77	1

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	1
14	1
15	1
16	4
17	6
18	4
19	2
20	1
21	1
22	5
23	10
24	10
25	6
26	3
27	1
28	1
29	6
30	15
31	20
32	16
33	6
34	4
35	1
36	1
37	7
38	21
39	35
40	36
41	22
42	6
43	5
44	1
45	1
46	8
47	28
48	56
49	71
50	58
51	28
52	6
53	6
54	1
55	1
56	9
57	36
58	84
59	127
60	129
61	86
62	34
63	12
64	7
65	1
66	1
67	10
68	45
69	120
70	211
71	256
72	215
73	120
74	46
75	19
76	8
77	1

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	1
14	1
15	1
16	4
17	6
18	4
19	2
20	1
21	1
22	5
23	10
24	10
25	6
26	3
27	1
28	1
29	6
30	15
31	20
32	16
33	6
34	4
35	1
36	1
37	7
38	21
39	35
40	36
41	22
42	6
43	5
44	1
45	1
46	8
47	28
48	56
49	71
50	58
51	28
52	6
53	6
54	1
55	1
56	9
57	36
58	84
59	127
60	129
61	86
62	34
63	12
64	7
65	1
66	1
67	10
68	45
69	120
70	211
71	256
72	215
73	120
74	46
75	19
76	8
77	1