A292435 - cp's OEIS frontend

A292435 Array T read by antidiagonals: T(m,n) = number of lattice walks of minimal length from (0,0) to (m,n) using steps in directions from {(1,0), (0,1), (3,0), (2,1), (1,2), (0,3)}.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	1
9	1
10	2
11	4
12	4
13	4
14	2
15	3
16	9
17	12
18	12
19	9
20	3
21	1
22	2
23	3
24	4
25	3
26	2
27	1
28	3
29	9
30	15
31	21
32	21
33	15
34	9
35	3
36	6
37	24
38	48
39	72
40	84
41	72
42	48
43	24
44	6
45	1
46	3
47	6
48	10
49	12
50	12
51	10
52	6
53	3
54	1
55	4
56	16
57	36
58	64
59	88
60	96
61	88
62	64
63	36
64	16
65	4
66	10
67	50
68	130
69	250
70	380
71	460
72	460
73	380
74	250
75	130
76	50
77	10
78	1
79	4
80	10
81	20
82	31
83	40
84	44
85	40
86	31
87	20
88	10
89	4
90	1

[1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 2, 3, 9, 12, 12, 9, 3, 1, 2, 3, 4, 3, 2, 1, 3, 9, 15, 21, 21, 15, 9, 3, 6, 24, 48, 72, 84, 72, 48, 24, 6, 1, 3, 6, 10, 12, 12, 10, 6, 3, 1, 4, 16, 36, 64, 88, 96, 88, 64, 36, 16, 4, 10, 50, 130, 250, 380, 460, 460, 380, 250, 130, 50, 10, 1, 4, 10, 20, 31, 40, 44, 40, 31, 20, 10, 4, 1]

cp's OEIS Frontend

A292435 Array T read by antidiagonals: T(m,n) = number of lattice walks of minimal length from (0,0) to (m,n) using steps in directions from {(1,0), (0,1), (3,0), (2,1), (1,2), (0,3)}.

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	1
9	1
10	2
11	4
12	4
13	4
14	2
15	3
16	9
17	12
18	12
19	9
20	3
21	1
22	2
23	3
24	4
25	3
26	2
27	1
28	3
29	9
30	15
31	21
32	21
33	15
34	9
35	3
36	6
37	24
38	48
39	72
40	84
41	72
42	48
43	24
44	6
45	1
46	3
47	6
48	10
49	12
50	12
51	10
52	6
53	3
54	1
55	4
56	16
57	36
58	64
59	88
60	96
61	88
62	64
63	36
64	16
65	4
66	10
67	50
68	130
69	250
70	380
71	460
72	460
73	380
74	250
75	130
76	50
77	10
78	1
79	4
80	10
81	20
82	31
83	40
84	44
85	40
86	31
87	20
88	10
89	4
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	1
9	1
10	2
11	4
12	4
13	4
14	2
15	3
16	9
17	12
18	12
19	9
20	3
21	1
22	2
23	3
24	4
25	3
26	2
27	1
28	3
29	9
30	15
31	21
32	21
33	15
34	9
35	3
36	6
37	24
38	48
39	72
40	84
41	72
42	48
43	24
44	6
45	1
46	3
47	6
48	10
49	12
50	12
51	10
52	6
53	3
54	1
55	4
56	16
57	36
58	64
59	88
60	96
61	88
62	64
63	36
64	16
65	4
66	10
67	50
68	130
69	250
70	380
71	460
72	460
73	380
74	250
75	130
76	50
77	10
78	1
79	4
80	10
81	20
82	31
83	40
84	44
85	40
86	31
87	20
88	10
89	4
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	1
9	1
10	2
11	4
12	4
13	4
14	2
15	3
16	9
17	12
18	12
19	9
20	3
21	1
22	2
23	3
24	4
25	3
26	2
27	1
28	3
29	9
30	15
31	21
32	21
33	15
34	9
35	3
36	6
37	24
38	48
39	72
40	84
41	72
42	48
43	24
44	6
45	1
46	3
47	6
48	10
49	12
50	12
51	10
52	6
53	3
54	1
55	4
56	16
57	36
58	64
59	88
60	96
61	88
62	64
63	36
64	16
65	4
66	10
67	50
68	130
69	250
70	380
71	460
72	460
73	380
74	250
75	130
76	50
77	10
78	1
79	4
80	10
81	20
82	31
83	40
84	44
85	40
86	31
87	20
88	10
89	4
90	1