A129718 - cp's OEIS frontend

A129718 Triangle read by rows: T(n,k) is the number of Fibonacci binary words of length n and having k runs of 1's (n >= 0, 0 <= k <= floor((n+1)/2)). A Fibonacci binary word is a binary word having no 00 subword. A run of 1's is a maximal subword of the form 11..1.

n	a(n)
0	1
1	1
2	1
3	0
4	3
5	0
6	4
7	1
8	0
9	4
10	4
11	0
12	4
13	8
14	1
15	0
16	4
17	12
18	5
19	0
20	4
21	16
22	13
23	1
24	0
25	4
26	20
27	25
28	6
29	0
30	4
31	24
32	41
33	19
34	1
35	0
36	4
37	28
38	61
39	44
40	7
41	0
42	4
43	32
44	85
45	85
46	26
47	1
48	0
49	4
50	36
51	113
52	146
53	70
54	8
55	0
56	4
57	40
58	145
59	231
60	155
61	34
62	1
63	0
64	4
65	44
66	181
67	344
68	301
69	104
70	9
71	0
72	4
73	48
74	221
75	489
76	532
77	259
78	43
79	1

[1, 1, 1, 0, 3, 0, 4, 1, 0, 4, 4, 0, 4, 8, 1, 0, 4, 12, 5, 0, 4, 16, 13, 1, 0, 4, 20, 25, 6, 0, 4, 24, 41, 19, 1, 0, 4, 28, 61, 44, 7, 0, 4, 32, 85, 85, 26, 1, 0, 4, 36, 113, 146, 70, 8, 0, 4, 40, 145, 231, 155, 34, 1, 0, 4, 44, 181, 344, 301, 104, 9, 0, 4, 48, 221, 489, 532, 259, 43, 1]

cp's OEIS Frontend

A129718 Triangle read by rows: T(n,k) is the number of Fibonacci binary words of length n and having k runs of 1's (n >= 0, 0 <= k <= floor((n+1)/2)). A Fibonacci binary word is a binary word having no 00 subword. A run of 1's is a maximal subword of the form 11..1.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	0
4	3
5	0
6	4
7	1
8	0
9	4
10	4
11	0
12	4
13	8
14	1
15	0
16	4
17	12
18	5
19	0
20	4
21	16
22	13
23	1
24	0
25	4
26	20
27	25
28	6
29	0
30	4
31	24
32	41
33	19
34	1
35	0
36	4
37	28
38	61
39	44
40	7
41	0
42	4
43	32
44	85
45	85
46	26
47	1
48	0
49	4
50	36
51	113
52	146
53	70
54	8
55	0
56	4
57	40
58	145
59	231
60	155
61	34
62	1
63	0
64	4
65	44
66	181
67	344
68	301
69	104
70	9
71	0
72	4
73	48
74	221
75	489
76	532
77	259
78	43
79	1

n	a(n)
0	1
1	1
2	1
3	0
4	3
5	0
6	4
7	1
8	0
9	4
10	4
11	0
12	4
13	8
14	1
15	0
16	4
17	12
18	5
19	0
20	4
21	16
22	13
23	1
24	0
25	4
26	20
27	25
28	6
29	0
30	4
31	24
32	41
33	19
34	1
35	0
36	4
37	28
38	61
39	44
40	7
41	0
42	4
43	32
44	85
45	85
46	26
47	1
48	0
49	4
50	36
51	113
52	146
53	70
54	8
55	0
56	4
57	40
58	145
59	231
60	155
61	34
62	1
63	0
64	4
65	44
66	181
67	344
68	301
69	104
70	9
71	0
72	4
73	48
74	221
75	489
76	532
77	259
78	43
79	1

n	a(n)
0	1
1	1
2	1
3	0
4	3
5	0
6	4
7	1
8	0
9	4
10	4
11	0
12	4
13	8
14	1
15	0
16	4
17	12
18	5
19	0
20	4
21	16
22	13
23	1
24	0
25	4
26	20
27	25
28	6
29	0
30	4
31	24
32	41
33	19
34	1
35	0
36	4
37	28
38	61
39	44
40	7
41	0
42	4
43	32
44	85
45	85
46	26
47	1
48	0
49	4
50	36
51	113
52	146
53	70
54	8
55	0
56	4
57	40
58	145
59	231
60	155
61	34
62	1
63	0
64	4
65	44
66	181
67	344
68	301
69	104
70	9
71	0
72	4
73	48
74	221
75	489
76	532
77	259
78	43
79	1