A114700 - cp's OEIS frontend

A114700 Triangle T, read by rows, such that the m-th matrix power satisfies T^m = I + m*(T - I), where T(n,k) = [T^-1](n-1,k) + [T^-1](n-1,k-1) for n>k>0, with T(n,0)=T(n,n)=1 for n>=0 and I is the identity matrix.

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

[1, 1, 1, 1, 0, 1, 1, -1, 1, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 1, 0, 1, 0, -1, 0, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 0, 2, 2, 0, -2, -2, 0, 1, 1, -1, -2, -4, -2, 2, 4, 2, 1, 1, 1, 0, 3, 6, 6, 0, -6, -6, -3, 0, 1, 1, -1, -3, -9, -12, -6, 6, 12, 9, 3, 1, 1, 1, 0, 4, 12, 21, 18, 0, -18, -21, -12, -4, 0, 1]

cp's OEIS Frontend

A114700 Triangle T, read by rows, such that the m-th matrix power satisfies T^m = I + m*(T - I), where T(n,k) = [T^-1](n-1,k) + [T^-1](n-1,k-1) for n>k>0, with T(n,0)=T(n,n)=1 for n>=0 and I is the identity matrix.

Table of values

List of values

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

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

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