A342322 - cp's OEIS frontend

A342322 T(n, k) = A064538(n)[x^k] p(n, x) where p(n, x) = 1 + Sum_{k = 0..n-1} binomial[n, k]p(k, 1)* ((x - 1)^(n - k) - 1) / (n - k + 1) for n >= 1 and p(0, x) = 1. Triangle read by rows, for 0 <= k <= n.

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

[1, 0, 1, 0, -1, 2, 0, 0, -1, 1, 0, 1, 1, -9, 6, 0, 0, 1, 1, -4, 2, 0, -1, -1, 6, 6, -15, 6, 0, 0, -2, -2, 5, 5, -9, 3, 0, 3, 3, -17, -17, 25, 25, -35, 10, 0, 0, 3, 3, -7, -7, 7, 7, -8, 2, 0, -5, -5, 28, 28, -38, -38, 28, 28, -27, 6, 0, 0, -10, -10, 23, 23, -21, -21, 12, 12, -10, 2]

cp's OEIS Frontend

A342322 T(n, k) = A064538(n)[x^k] p(n, x) where p(n, x) = 1 + Sum_{k = 0..n-1} binomial[n, k]p(k, 1)* ((x - 1)^(n - k) - 1) / (n - k + 1) for n >= 1 and p(0, x) = 1. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values

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

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

cp's OEIS Frontend

A342322 T(n, k) = A064538(n)*[x^k] p(n, x) where p(n, x) = 1 + Sum_{k = 0..n-1} binomial[n, k]*p(k, 1)* ((x - 1)^(n - k) - 1) / (n - k + 1) for n >= 1 and p(0, x) = 1. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values

A342322 T(n, k) = A064538(n)[x^k] p(n, x) where p(n, x) = 1 + Sum_{k = 0..n-1} binomial[n, k]p(k, 1)* ((x - 1)^(n - k) - 1) / (n - k + 1) for n >= 1 and p(0, x) = 1. Triangle read by rows, for 0 <= k <= n.

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