A027052 - cp's OEIS frontend

A027052 Triangular array T read by rows: T(n,0) = T(n,2n) = 1 for n >= 0, T(n,1)=0 for n >= 1, T(n,2)=1 for n >= 2 and for n >= 3, T(n,k) = T(n-1,k-3) + T(n-1, k-2) + T(n-1,k-1) for 3 <= k <= 2n-1. T(n,k)=0 for k < 0 or k > 2n.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	0
11	1
12	2
13	3
14	4
15	1
16	1
17	0
18	1
19	2
20	3
21	6
22	9
23	8
24	1
25	1
26	0
27	1
28	2
29	3
30	6
31	11
32	18
33	23
34	18
35	1
36	1
37	0
38	1
39	2
40	3
41	6
42	11
43	20
44	35
45	52
46	59
47	42
48	1
49	1
50	0
51	1
52	2
53	3
54	6
55	11
56	20
57	37
58	66
59	107
60	146
61	153
62	102
63	1
64	1
65	0
66	1
67	2
68	3
69	6
70	11
71	20
72	37
73	68
74	123
75	210
76	319
77	406
78	401
79	256
80	1

[1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 1, 1, 0, 1, 2, 3, 6, 9, 8, 1, 1, 0, 1, 2, 3, 6, 11, 18, 23, 18, 1, 1, 0, 1, 2, 3, 6, 11, 20, 35, 52, 59, 42, 1, 1, 0, 1, 2, 3, 6, 11, 20, 37, 66, 107, 146, 153, 102, 1, 1, 0, 1, 2, 3, 6, 11, 20, 37, 68, 123, 210, 319, 406, 401, 256, 1]

cp's OEIS Frontend

A027052 Triangular array T read by rows: T(n,0) = T(n,2n) = 1 for n >= 0, T(n,1)=0 for n >= 1, T(n,2)=1 for n >= 2 and for n >= 3, T(n,k) = T(n-1,k-3) + T(n-1, k-2) + T(n-1,k-1) for 3 <= k <= 2n-1. T(n,k)=0 for k < 0 or k > 2n.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	0
11	1
12	2
13	3
14	4
15	1
16	1
17	0
18	1
19	2
20	3
21	6
22	9
23	8
24	1
25	1
26	0
27	1
28	2
29	3
30	6
31	11
32	18
33	23
34	18
35	1
36	1
37	0
38	1
39	2
40	3
41	6
42	11
43	20
44	35
45	52
46	59
47	42
48	1
49	1
50	0
51	1
52	2
53	3
54	6
55	11
56	20
57	37
58	66
59	107
60	146
61	153
62	102
63	1
64	1
65	0
66	1
67	2
68	3
69	6
70	11
71	20
72	37
73	68
74	123
75	210
76	319
77	406
78	401
79	256
80	1

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	0
11	1
12	2
13	3
14	4
15	1
16	1
17	0
18	1
19	2
20	3
21	6
22	9
23	8
24	1
25	1
26	0
27	1
28	2
29	3
30	6
31	11
32	18
33	23
34	18
35	1
36	1
37	0
38	1
39	2
40	3
41	6
42	11
43	20
44	35
45	52
46	59
47	42
48	1
49	1
50	0
51	1
52	2
53	3
54	6
55	11
56	20
57	37
58	66
59	107
60	146
61	153
62	102
63	1
64	1
65	0
66	1
67	2
68	3
69	6
70	11
71	20
72	37
73	68
74	123
75	210
76	319
77	406
78	401
79	256
80	1

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	0
11	1
12	2
13	3
14	4
15	1
16	1
17	0
18	1
19	2
20	3
21	6
22	9
23	8
24	1
25	1
26	0
27	1
28	2
29	3
30	6
31	11
32	18
33	23
34	18
35	1
36	1
37	0
38	1
39	2
40	3
41	6
42	11
43	20
44	35
45	52
46	59
47	42
48	1
49	1
50	0
51	1
52	2
53	3
54	6
55	11
56	20
57	37
58	66
59	107
60	146
61	153
62	102
63	1
64	1
65	0
66	1
67	2
68	3
69	6
70	11
71	20
72	37
73	68
74	123
75	210
76	319
77	406
78	401
79	256
80	1