A383552 - cp's OEIS frontend

A383552 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),(2,2).

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	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	26
25	18
26	6
27	1
28	1
29	7
30	25
31	47
32	47
33	25
34	7
35	1
36	1
37	8
38	33
39	76
40	101
41	76
42	33
43	8
44	1
45	1
46	9
47	42
48	114
49	189
50	189
51	114
52	42
53	9
54	1
55	1
56	10
57	52
58	162
59	321
60	404
61	321
62	162
63	52
64	10
65	1
66	1
67	11
68	63
69	221
70	508
71	772
72	772
73	508
74	221
75	63
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 12, 12, 5, 1, 1, 6, 18, 26, 18, 6, 1, 1, 7, 25, 47, 47, 25, 7, 1, 1, 8, 33, 76, 101, 76, 33, 8, 1, 1, 9, 42, 114, 189, 189, 114, 42, 9, 1, 1, 10, 52, 162, 321, 404, 321, 162, 52, 10, 1, 1, 11, 63, 221, 508, 772, 772, 508, 221, 63, 11, 1]

cp's OEIS Frontend

A383552 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),(2,2).

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	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	26
25	18
26	6
27	1
28	1
29	7
30	25
31	47
32	47
33	25
34	7
35	1
36	1
37	8
38	33
39	76
40	101
41	76
42	33
43	8
44	1
45	1
46	9
47	42
48	114
49	189
50	189
51	114
52	42
53	9
54	1
55	1
56	10
57	52
58	162
59	321
60	404
61	321
62	162
63	52
64	10
65	1
66	1
67	11
68	63
69	221
70	508
71	772
72	772
73	508
74	221
75	63
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	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	26
25	18
26	6
27	1
28	1
29	7
30	25
31	47
32	47
33	25
34	7
35	1
36	1
37	8
38	33
39	76
40	101
41	76
42	33
43	8
44	1
45	1
46	9
47	42
48	114
49	189
50	189
51	114
52	42
53	9
54	1
55	1
56	10
57	52
58	162
59	321
60	404
61	321
62	162
63	52
64	10
65	1
66	1
67	11
68	63
69	221
70	508
71	772
72	772
73	508
74	221
75	63
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	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	26
25	18
26	6
27	1
28	1
29	7
30	25
31	47
32	47
33	25
34	7
35	1
36	1
37	8
38	33
39	76
40	101
41	76
42	33
43	8
44	1
45	1
46	9
47	42
48	114
49	189
50	189
51	114
52	42
53	9
54	1
55	1
56	10
57	52
58	162
59	321
60	404
61	321
62	162
63	52
64	10
65	1
66	1
67	11
68	63
69	221
70	508
71	772
72	772
73	508
74	221
75	63
76	11
77	1