A129713 - cp's OEIS frontend

A129713 Triangle read by rows: T(n,k) is the number of Fibonacci binary words of length n and starting with exactly k 1's (0<=k<=n). A Fibonacci binary word is a binary word having no 00 subword.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	5
16	3
17	2
18	1
19	1
20	1
21	8
22	5
23	3
24	2
25	1
26	1
27	1
28	13
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	21
37	13
38	8
39	5
40	3
41	2
42	1
43	1
44	1
45	34
46	21
47	13
48	8
49	5
50	3
51	2
52	1
53	1
54	1
55	55
56	34
57	21
58	13
59	8
60	5
61	3
62	2
63	1
64	1
65	1
66	89
67	55
68	34
69	21
70	13
71	8
72	5
73	3
74	2
75	1
76	1
77	1
78	144
79	89
80	55
81	34
82	21
83	13
84	8
85	5
86	3
87	2
88	1
89	1
90	1
91	233
92	144

[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 3, 2, 1, 1, 1, 8, 5, 3, 2, 1, 1, 1, 13, 8, 5, 3, 2, 1, 1, 1, 21, 13, 8, 5, 3, 2, 1, 1, 1, 34, 21, 13, 8, 5, 3, 2, 1, 1, 1, 55, 34, 21, 13, 8, 5, 3, 2, 1, 1, 1, 89, 55, 34, 21, 13, 8, 5, 3, 2, 1, 1, 1, 144, 89, 55, 34, 21, 13, 8, 5, 3, 2, 1, 1, 1, 233, 144]

cp's OEIS Frontend

A129713 Triangle read by rows: T(n,k) is the number of Fibonacci binary words of length n and starting with exactly k 1's (0<=k<=n). A Fibonacci binary word is a binary word having no 00 subword.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	5
16	3
17	2
18	1
19	1
20	1
21	8
22	5
23	3
24	2
25	1
26	1
27	1
28	13
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	21
37	13
38	8
39	5
40	3
41	2
42	1
43	1
44	1
45	34
46	21
47	13
48	8
49	5
50	3
51	2
52	1
53	1
54	1
55	55
56	34
57	21
58	13
59	8
60	5
61	3
62	2
63	1
64	1
65	1
66	89
67	55
68	34
69	21
70	13
71	8
72	5
73	3
74	2
75	1
76	1
77	1
78	144
79	89
80	55
81	34
82	21
83	13
84	8
85	5
86	3
87	2
88	1
89	1
90	1
91	233
92	144

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	5
16	3
17	2
18	1
19	1
20	1
21	8
22	5
23	3
24	2
25	1
26	1
27	1
28	13
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	21
37	13
38	8
39	5
40	3
41	2
42	1
43	1
44	1
45	34
46	21
47	13
48	8
49	5
50	3
51	2
52	1
53	1
54	1
55	55
56	34
57	21
58	13
59	8
60	5
61	3
62	2
63	1
64	1
65	1
66	89
67	55
68	34
69	21
70	13
71	8
72	5
73	3
74	2
75	1
76	1
77	1
78	144
79	89
80	55
81	34
82	21
83	13
84	8
85	5
86	3
87	2
88	1
89	1
90	1
91	233
92	144

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	5
16	3
17	2
18	1
19	1
20	1
21	8
22	5
23	3
24	2
25	1
26	1
27	1
28	13
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	21
37	13
38	8
39	5
40	3
41	2
42	1
43	1
44	1
45	34
46	21
47	13
48	8
49	5
50	3
51	2
52	1
53	1
54	1
55	55
56	34
57	21
58	13
59	8
60	5
61	3
62	2
63	1
64	1
65	1
66	89
67	55
68	34
69	21
70	13
71	8
72	5
73	3
74	2
75	1
76	1
77	1
78	144
79	89
80	55
81	34
82	21
83	13
84	8
85	5
86	3
87	2
88	1
89	1
90	1
91	233
92	144