A259074 - cp's OEIS frontend

A259074 Triangle T(n,k) = Sum_{j=0..(n-k)/3} C(n-3j-1,k-1)C(n-k-3*j,j).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	3
17	7
18	10
19	10
20	5
21	1
22	4
23	12
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	33
32	39
33	35
34	21
35	7
36	1
37	7
38	28
39	58
40	76
41	75
42	56
43	28
44	8
45	1
46	10
47	42
48	96
49	144
50	156
51	132
52	84
53	36
54	9
55	1
56	14
57	64
58	156
59	260
60	315
61	294
62	217
63	120
64	45
65	10
66	1
67	19
68	97
69	253
70	455
71	610
72	630
73	518
74	338
75	165
76	55
77	11
78	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 4, 6, 4, 1, 3, 7, 10, 10, 5, 1, 4, 12, 18, 20, 15, 6, 1, 5, 19, 33, 39, 35, 21, 7, 1, 7, 28, 58, 76, 75, 56, 28, 8, 1, 10, 42, 96, 144, 156, 132, 84, 36, 9, 1, 14, 64, 156, 260, 315, 294, 217, 120, 45, 10, 1, 19, 97, 253, 455, 610, 630, 518, 338, 165, 55, 11, 1]

cp's OEIS Frontend

A259074 Triangle T(n,k) = Sum_{j=0..(n-k)/3} C(n-3j-1,k-1)C(n-k-3*j,j).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	3
17	7
18	10
19	10
20	5
21	1
22	4
23	12
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	33
32	39
33	35
34	21
35	7
36	1
37	7
38	28
39	58
40	76
41	75
42	56
43	28
44	8
45	1
46	10
47	42
48	96
49	144
50	156
51	132
52	84
53	36
54	9
55	1
56	14
57	64
58	156
59	260
60	315
61	294
62	217
63	120
64	45
65	10
66	1
67	19
68	97
69	253
70	455
71	610
72	630
73	518
74	338
75	165
76	55
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	3
17	7
18	10
19	10
20	5
21	1
22	4
23	12
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	33
32	39
33	35
34	21
35	7
36	1
37	7
38	28
39	58
40	76
41	75
42	56
43	28
44	8
45	1
46	10
47	42
48	96
49	144
50	156
51	132
52	84
53	36
54	9
55	1
56	14
57	64
58	156
59	260
60	315
61	294
62	217
63	120
64	45
65	10
66	1
67	19
68	97
69	253
70	455
71	610
72	630
73	518
74	338
75	165
76	55
77	11
78	1

cp's OEIS Frontend

A259074 Triangle T(n,k) = Sum_{j=0..(n-k)/3} C(n-3*j-1,k-1)*C(n-k-3*j,j).

Table of values

List of values

A259074 Triangle T(n,k) = Sum_{j=0..(n-k)/3} C(n-3j-1,k-1)C(n-k-3*j,j).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	3
17	7
18	10
19	10
20	5
21	1
22	4
23	12
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	33
32	39
33	35
34	21
35	7
36	1
37	7
38	28
39	58
40	76
41	75
42	56
43	28
44	8
45	1
46	10
47	42
48	96
49	144
50	156
51	132
52	84
53	36
54	9
55	1
56	14
57	64
58	156
59	260
60	315
61	294
62	217
63	120
64	45
65	10
66	1
67	19
68	97
69	253
70	455
71	610
72	630
73	518
74	338
75	165
76	55
77	11
78	1