A078807 - cp's OEIS frontend

A078807 Triangular array T given by T(n,k) = number of 01-words of length n having exactly k 1's, all runlengths odd and first letter 0.

n	a(n)
1	1
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	2
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	2
21	1
22	1
23	3
24	3
25	3
26	2
27	1
28	0
29	0
30	1
31	3
32	4
33	5
34	4
35	3
36	1
37	1
38	4
39	6
40	7
41	7
42	5
43	3
44	1
45	0
46	0
47	1
48	4
49	7
50	10
51	11
52	10
53	7
54	4
55	1
56	1
57	5
58	10
59	14
60	17
61	16
62	13
63	8
64	4
65	1
66	0
67	0
68	1
69	5
70	11
71	18
72	24
73	26
74	24
75	18
76	11
77	5
78	1
79	1
80	6
81	15
82	25
83	35
84	40
85	39
86	32
87	22
88	12
89	5
90	1
91	0
92	0

[1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 2, 1, 0, 0, 1, 3, 4, 5, 4, 3, 1, 1, 4, 6, 7, 7, 5, 3, 1, 0, 0, 1, 4, 7, 10, 11, 10, 7, 4, 1, 1, 5, 10, 14, 17, 16, 13, 8, 4, 1, 0, 0, 1, 5, 11, 18, 24, 26, 24, 18, 11, 5, 1, 1, 6, 15, 25, 35, 40, 39, 32, 22, 12, 5, 1, 0, 0]

cp's OEIS Frontend

A078807 Triangular array T given by T(n,k) = number of 01-words of length n having exactly k 1's, all runlengths odd and first letter 0.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	2
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	2
21	1
22	1
23	3
24	3
25	3
26	2
27	1
28	0
29	0
30	1
31	3
32	4
33	5
34	4
35	3
36	1
37	1
38	4
39	6
40	7
41	7
42	5
43	3
44	1
45	0
46	0
47	1
48	4
49	7
50	10
51	11
52	10
53	7
54	4
55	1
56	1
57	5
58	10
59	14
60	17
61	16
62	13
63	8
64	4
65	1
66	0
67	0
68	1
69	5
70	11
71	18
72	24
73	26
74	24
75	18
76	11
77	5
78	1
79	1
80	6
81	15
82	25
83	35
84	40
85	39
86	32
87	22
88	12
89	5
90	1
91	0
92	0

n	a(n)
1	1
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	2
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	2
21	1
22	1
23	3
24	3
25	3
26	2
27	1
28	0
29	0
30	1
31	3
32	4
33	5
34	4
35	3
36	1
37	1
38	4
39	6
40	7
41	7
42	5
43	3
44	1
45	0
46	0
47	1
48	4
49	7
50	10
51	11
52	10
53	7
54	4
55	1
56	1
57	5
58	10
59	14
60	17
61	16
62	13
63	8
64	4
65	1
66	0
67	0
68	1
69	5
70	11
71	18
72	24
73	26
74	24
75	18
76	11
77	5
78	1
79	1
80	6
81	15
82	25
83	35
84	40
85	39
86	32
87	22
88	12
89	5
90	1
91	0
92	0

n	a(n)
1	1
2	0
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	2
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	2
21	1
22	1
23	3
24	3
25	3
26	2
27	1
28	0
29	0
30	1
31	3
32	4
33	5
34	4
35	3
36	1
37	1
38	4
39	6
40	7
41	7
42	5
43	3
44	1
45	0
46	0
47	1
48	4
49	7
50	10
51	11
52	10
53	7
54	4
55	1
56	1
57	5
58	10
59	14
60	17
61	16
62	13
63	8
64	4
65	1
66	0
67	0
68	1
69	5
70	11
71	18
72	24
73	26
74	24
75	18
76	11
77	5
78	1
79	1
80	6
81	15
82	25
83	35
84	40
85	39
86	32
87	22
88	12
89	5
90	1
91	0
92	0