A383551 - cp's OEIS frontend

A383551 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the number of lattice paths from (0,0) to (n,k) using steps (1,0),(0,1),(3,3).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	21
25	15
26	6
27	1
28	1
29	7
30	21
31	37
32	37
33	21
34	7
35	1
36	1
37	8
38	28
39	59
40	76
41	59
42	28
43	8
44	1
45	1
46	9
47	36
48	88
49	138
50	138
51	88
52	36
53	9
54	1
55	1
56	10
57	45
58	125
59	230
60	282
61	230
62	125
63	45
64	10
65	1
66	1
67	11
68	55
69	171
70	360
71	522
72	522
73	360
74	171
75	55
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 21, 15, 6, 1, 1, 7, 21, 37, 37, 21, 7, 1, 1, 8, 28, 59, 76, 59, 28, 8, 1, 1, 9, 36, 88, 138, 138, 88, 36, 9, 1, 1, 10, 45, 125, 230, 282, 230, 125, 45, 10, 1, 1, 11, 55, 171, 360, 522, 522, 360, 171, 55, 11, 1]

cp's OEIS Frontend

A383551 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the number of lattice paths from (0,0) to (n,k) using steps (1,0),(0,1),(3,3).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	21
25	15
26	6
27	1
28	1
29	7
30	21
31	37
32	37
33	21
34	7
35	1
36	1
37	8
38	28
39	59
40	76
41	59
42	28
43	8
44	1
45	1
46	9
47	36
48	88
49	138
50	138
51	88
52	36
53	9
54	1
55	1
56	10
57	45
58	125
59	230
60	282
61	230
62	125
63	45
64	10
65	1
66	1
67	11
68	55
69	171
70	360
71	522
72	522
73	360
74	171
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	21
25	15
26	6
27	1
28	1
29	7
30	21
31	37
32	37
33	21
34	7
35	1
36	1
37	8
38	28
39	59
40	76
41	59
42	28
43	8
44	1
45	1
46	9
47	36
48	88
49	138
50	138
51	88
52	36
53	9
54	1
55	1
56	10
57	45
58	125
59	230
60	282
61	230
62	125
63	45
64	10
65	1
66	1
67	11
68	55
69	171
70	360
71	522
72	522
73	360
74	171
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	21
25	15
26	6
27	1
28	1
29	7
30	21
31	37
32	37
33	21
34	7
35	1
36	1
37	8
38	28
39	59
40	76
41	59
42	28
43	8
44	1
45	1
46	9
47	36
48	88
49	138
50	138
51	88
52	36
53	9
54	1
55	1
56	10
57	45
58	125
59	230
60	282
61	230
62	125
63	45
64	10
65	1
66	1
67	11
68	55
69	171
70	360
71	522
72	522
73	360
74	171
75	55
76	11
77	1