A303696 - cp's OEIS frontend

A303696 Number A(n,k) of binary words of length n with k times as many occurrences of subword 101 as occurrences of subword 010; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	4
6	1
7	2
8	4
9	7
10	1
11	2
12	4
13	6
14	12
15	1
16	2
17	4
18	6
19	12
20	21
21	1
22	2
23	4
24	6
25	10
26	20
27	37
28	1
29	2
30	4
31	6
32	10
33	17
34	38
35	65
36	1
37	2
38	4
39	6
40	10
41	16
42	28
43	66
44	114
45	1
46	2
47	4
48	6
49	10
50	16
51	26
52	49
53	124
54	200
55	1
56	2
57	4
58	6
59	10
60	16
61	26
62	42
63	84
64	224
65	351
66	1
67	2
68	4
69	6
70	10
71	16
72	26
73	42
74	70
75	148
76	424
77	616

[1, 1, 2, 1, 2, 4, 1, 2, 4, 7, 1, 2, 4, 6, 12, 1, 2, 4, 6, 12, 21, 1, 2, 4, 6, 10, 20, 37, 1, 2, 4, 6, 10, 17, 38, 65, 1, 2, 4, 6, 10, 16, 28, 66, 114, 1, 2, 4, 6, 10, 16, 26, 49, 124, 200, 1, 2, 4, 6, 10, 16, 26, 42, 84, 224, 351, 1, 2, 4, 6, 10, 16, 26, 42, 70, 148, 424, 616]

cp's OEIS Frontend

A303696 Number A(n,k) of binary words of length n with k times as many occurrences of subword 101 as occurrences of subword 010; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	4
6	1
7	2
8	4
9	7
10	1
11	2
12	4
13	6
14	12
15	1
16	2
17	4
18	6
19	12
20	21
21	1
22	2
23	4
24	6
25	10
26	20
27	37
28	1
29	2
30	4
31	6
32	10
33	17
34	38
35	65
36	1
37	2
38	4
39	6
40	10
41	16
42	28
43	66
44	114
45	1
46	2
47	4
48	6
49	10
50	16
51	26
52	49
53	124
54	200
55	1
56	2
57	4
58	6
59	10
60	16
61	26
62	42
63	84
64	224
65	351
66	1
67	2
68	4
69	6
70	10
71	16
72	26
73	42
74	70
75	148
76	424
77	616

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	4
6	1
7	2
8	4
9	7
10	1
11	2
12	4
13	6
14	12
15	1
16	2
17	4
18	6
19	12
20	21
21	1
22	2
23	4
24	6
25	10
26	20
27	37
28	1
29	2
30	4
31	6
32	10
33	17
34	38
35	65
36	1
37	2
38	4
39	6
40	10
41	16
42	28
43	66
44	114
45	1
46	2
47	4
48	6
49	10
50	16
51	26
52	49
53	124
54	200
55	1
56	2
57	4
58	6
59	10
60	16
61	26
62	42
63	84
64	224
65	351
66	1
67	2
68	4
69	6
70	10
71	16
72	26
73	42
74	70
75	148
76	424
77	616

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	4
6	1
7	2
8	4
9	7
10	1
11	2
12	4
13	6
14	12
15	1
16	2
17	4
18	6
19	12
20	21
21	1
22	2
23	4
24	6
25	10
26	20
27	37
28	1
29	2
30	4
31	6
32	10
33	17
34	38
35	65
36	1
37	2
38	4
39	6
40	10
41	16
42	28
43	66
44	114
45	1
46	2
47	4
48	6
49	10
50	16
51	26
52	49
53	124
54	200
55	1
56	2
57	4
58	6
59	10
60	16
61	26
62	42
63	84
64	224
65	351
66	1
67	2
68	4
69	6
70	10
71	16
72	26
73	42
74	70
75	148
76	424
77	616