A078821 - cp's OEIS frontend

A078821 Triangular array T given by T(n,k) = number of 01-words of length n having exactly k 1's and all runlengths odd.

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

[0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 4, 4, 4, 2, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 2, 6, 8, 10, 8, 6, 2, 0, 1, 4, 7, 10, 12, 12, 10, 7, 4, 1, 0, 2, 8, 14, 20, 22, 20, 14, 8, 2, 0, 1, 5, 11, 18, 25, 29, 29, 25, 18, 11, 5, 1, 0, 2, 10, 22, 36, 48, 52, 48, 36, 22, 10, 2, 0]

cp's OEIS Frontend

A078821 Triangular array T given by T(n,k) = number of 01-words of length n having exactly k 1's and all runlengths odd.

Table of values

List of values

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

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

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