A376586 - cp's OEIS frontend

A376586 Irregular table T(n, k), n >= 0, k >= 0, read by rows with row polynomials P(n-1, n-1) for n > 0 with T(0, 0) = 1 where P(n, k) = (-1)^(n-k)z^f(n-k+1)P(n, k-1) + P(k-1, k-1) for 0 < k <= n with P(n, k) = 0 for k > n, P(n, 0) = 1 for n >= 0 and where f(2n+1) = n, f(2n) = 2n for n >= 0.

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

[1, 1, 2, 3, 0, -1, 5, 0, -2, -1, 8, 0, -5, -2, 0, 0, 0, 1, 13, 0, -10, -5, 1, 0, 0, 2, 0, 1, 21, 0, -20, -10, 3, 2, 0, 5, 0, 2, 0, 0, 0, 0, 0, -1, 34, 0, -38, -20, 9, 6, 1, 10, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, -1, 55, 0, -71, -38, 22, 18, 2, 20, 0, 4, -2, -2, 0, 0]

cp's OEIS Frontend

A376586 Irregular table T(n, k), n >= 0, k >= 0, read by rows with row polynomials P(n-1, n-1) for n > 0 with T(0, 0) = 1 where P(n, k) = (-1)^(n-k)z^f(n-k+1)P(n, k-1) + P(k-1, k-1) for 0 < k <= n with P(n, k) = 0 for k > n, P(n, 0) = 1 for n >= 0 and where f(2n+1) = n, f(2n) = 2n for n >= 0.

Table of values

List of values

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

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

cp's OEIS Frontend

A376586 Irregular table T(n, k), n >= 0, k >= 0, read by rows with row polynomials P(n-1, n-1) for n > 0 with T(0, 0) = 1 where P(n, k) = (-1)^(n-k)*z^f(n-k+1)*P(n, k-1) + P(k-1, k-1) for 0 < k <= n with P(n, k) = 0 for k > n, P(n, 0) = 1 for n >= 0 and where f(2n+1) = n, f(2n) = 2n for n >= 0.

Table of values

List of values

A376586 Irregular table T(n, k), n >= 0, k >= 0, read by rows with row polynomials P(n-1, n-1) for n > 0 with T(0, 0) = 1 where P(n, k) = (-1)^(n-k)z^f(n-k+1)P(n, k-1) + P(k-1, k-1) for 0 < k <= n with P(n, k) = 0 for k > n, P(n, 0) = 1 for n >= 0 and where f(2n+1) = n, f(2n) = 2n for n >= 0.

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