A104967 - cp's OEIS frontend

A104967 Matrix inverse of triangle A104219, read by rows, where A104219(n,k) equals the number of Schroeder paths of length 2n having k peaks at height 1.

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

[1, -1, 1, -1, -2, 1, -1, -1, -3, 1, -1, 0, 0, -4, 1, -1, 1, 2, 2, -5, 1, -1, 2, 3, 4, 5, -6, 1, -1, 3, 3, 3, 5, 9, -7, 1, -1, 4, 2, 0, 0, 4, 14, -8, 1, -1, 5, 0, -4, -6, -6, 0, 20, -9, 1, -1, 6, -3, -8, -10, -12, -14, -8, 27, -10, 1, -1, 7, -7, -11, -10, -10, -14, -22, -21, 35, -11, 1, -1, 8, -12, -12, -5, 0, 0, -8, -27, -40, 44, -12, 1]

cp's OEIS Frontend

A104967 Matrix inverse of triangle A104219, read by rows, where A104219(n,k) equals the number of Schroeder paths of length 2n having k peaks at height 1.

Table of values

List of values

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

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

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