A273914 - cp's OEIS frontend

A273914 Array A by antidiagonals going up: A(n, m) is the number of (0, 1)-strings with n 0's and m 1's that do not contain 10101101 or 1110101 as substrings.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	20
34	7
35	1
36	1
37	8
38	28
39	56
40	70
41	53
42	26
43	8
44	1
45	1
46	9
47	36
48	84
49	126
50	121
51	76
52	33
53	9
54	1
55	1
56	10
57	45
58	120
59	210
60	245
61	192
62	106
63	41
64	10
65	1
66	1
67	11
68	55
69	165
70	330
71	453
72	430
73	290
74	143
75	50
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 21, 35, 35, 20, 7, 1, 1, 8, 28, 56, 70, 53, 26, 8, 1, 1, 9, 36, 84, 126, 121, 76, 33, 9, 1, 1, 10, 45, 120, 210, 245, 192, 106, 41, 10, 1, 1, 11, 55, 165, 330, 453, 430, 290, 143, 50, 11, 1]

cp's OEIS Frontend

A273914 Array A by antidiagonals going up: A(n, m) is the number of (0, 1)-strings with n 0's and m 1's that do not contain 10101101 or 1110101 as substrings.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	20
34	7
35	1
36	1
37	8
38	28
39	56
40	70
41	53
42	26
43	8
44	1
45	1
46	9
47	36
48	84
49	126
50	121
51	76
52	33
53	9
54	1
55	1
56	10
57	45
58	120
59	210
60	245
61	192
62	106
63	41
64	10
65	1
66	1
67	11
68	55
69	165
70	330
71	453
72	430
73	290
74	143
75	50
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	20
34	7
35	1
36	1
37	8
38	28
39	56
40	70
41	53
42	26
43	8
44	1
45	1
46	9
47	36
48	84
49	126
50	121
51	76
52	33
53	9
54	1
55	1
56	10
57	45
58	120
59	210
60	245
61	192
62	106
63	41
64	10
65	1
66	1
67	11
68	55
69	165
70	330
71	453
72	430
73	290
74	143
75	50
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	20
34	7
35	1
36	1
37	8
38	28
39	56
40	70
41	53
42	26
43	8
44	1
45	1
46	9
47	36
48	84
49	126
50	121
51	76
52	33
53	9
54	1
55	1
56	10
57	45
58	120
59	210
60	245
61	192
62	106
63	41
64	10
65	1
66	1
67	11
68	55
69	165
70	330
71	453
72	430
73	290
74	143
75	50
76	11
77	1