A119900 - cp's OEIS frontend

A119900 Triangle read by rows: T(n,k) is the number of binary words of length n with k strictly increasing runs, for 0<=k<=n.

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	3
6	0
7	0
8	4
9	4
10	0
11	0
12	1
13	10
14	5
15	0
16	0
17	0
18	6
19	20
20	6
21	0
22	0
23	0
24	1
25	21
26	35
27	7
28	0
29	0
30	0
31	0
32	8
33	56
34	56
35	8
36	0
37	0
38	0
39	0
40	1
41	36
42	126
43	84
44	9
45	0
46	0
47	0
48	0
49	0
50	10
51	120
52	252
53	120
54	10
55	0
56	0
57	0
58	0
59	0
60	1
61	55
62	330
63	462
64	165
65	11
66	0
67	0
68	0
69	0
70	0
71	0
72	12
73	220
74	792
75	792
76	220
77	12
78	0
79	0
80	0
81	0
82	0
83	0
84	1
85	78

[1, 0, 2, 0, 1, 3, 0, 0, 4, 4, 0, 0, 1, 10, 5, 0, 0, 0, 6, 20, 6, 0, 0, 0, 1, 21, 35, 7, 0, 0, 0, 0, 8, 56, 56, 8, 0, 0, 0, 0, 1, 36, 126, 84, 9, 0, 0, 0, 0, 0, 10, 120, 252, 120, 10, 0, 0, 0, 0, 0, 1, 55, 330, 462, 165, 11, 0, 0, 0, 0, 0, 0, 12, 220, 792, 792, 220, 12, 0, 0, 0, 0, 0, 0, 1, 78]

cp's OEIS Frontend

A119900 Triangle read by rows: T(n,k) is the number of binary words of length n with k strictly increasing runs, for 0<=k<=n.

Table of values

List of values

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	3
6	0
7	0
8	4
9	4
10	0
11	0
12	1
13	10
14	5
15	0
16	0
17	0
18	6
19	20
20	6
21	0
22	0
23	0
24	1
25	21
26	35
27	7
28	0
29	0
30	0
31	0
32	8
33	56
34	56
35	8
36	0
37	0
38	0
39	0
40	1
41	36
42	126
43	84
44	9
45	0
46	0
47	0
48	0
49	0
50	10
51	120
52	252
53	120
54	10
55	0
56	0
57	0
58	0
59	0
60	1
61	55
62	330
63	462
64	165
65	11
66	0
67	0
68	0
69	0
70	0
71	0
72	12
73	220
74	792
75	792
76	220
77	12
78	0
79	0
80	0
81	0
82	0
83	0
84	1
85	78

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	3
6	0
7	0
8	4
9	4
10	0
11	0
12	1
13	10
14	5
15	0
16	0
17	0
18	6
19	20
20	6
21	0
22	0
23	0
24	1
25	21
26	35
27	7
28	0
29	0
30	0
31	0
32	8
33	56
34	56
35	8
36	0
37	0
38	0
39	0
40	1
41	36
42	126
43	84
44	9
45	0
46	0
47	0
48	0
49	0
50	10
51	120
52	252
53	120
54	10
55	0
56	0
57	0
58	0
59	0
60	1
61	55
62	330
63	462
64	165
65	11
66	0
67	0
68	0
69	0
70	0
71	0
72	12
73	220
74	792
75	792
76	220
77	12
78	0
79	0
80	0
81	0
82	0
83	0
84	1
85	78

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	3
6	0
7	0
8	4
9	4
10	0
11	0
12	1
13	10
14	5
15	0
16	0
17	0
18	6
19	20
20	6
21	0
22	0
23	0
24	1
25	21
26	35
27	7
28	0
29	0
30	0
31	0
32	8
33	56
34	56
35	8
36	0
37	0
38	0
39	0
40	1
41	36
42	126
43	84
44	9
45	0
46	0
47	0
48	0
49	0
50	10
51	120
52	252
53	120
54	10
55	0
56	0
57	0
58	0
59	0
60	1
61	55
62	330
63	462
64	165
65	11
66	0
67	0
68	0
69	0
70	0
71	0
72	12
73	220
74	792
75	792
76	220
77	12
78	0
79	0
80	0
81	0
82	0
83	0
84	1
85	78