A342321 - cp's OEIS frontend

A342321 T(n, k) = A343277(n)[x^k] p(n, x) where p(n, x) = (1/(n+1))Sum_{k=0..n} (-1)^kE1(n, k)x^(n - k) / binomial(n, k), and E1(n, k) are the Eulerian numbers A123125. 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	1
8	-4
9	3
10	0
11	-3
12	22
13	-33
14	12
15	0
16	1
17	-13
18	33
19	-26
20	5
21	0
22	-5
23	114
24	-453
25	604
26	-285
27	30
28	0
29	5
30	-200
31	1191
32	-2416
33	1985
34	-600
35	35
36	0
37	-35
38	2470
39	-21465
40	62476
41	-78095
42	42930
43	-8645
44	280
45	0
46	14
47	-1757
48	21912
49	-88234
50	156190
51	-132351
52	51128
53	-7028
54	126

[1, 0, 1, 0, -1, 2, 0, 1, -4, 3, 0, -3, 22, -33, 12, 0, 1, -13, 33, -26, 5, 0, -5, 114, -453, 604, -285, 30, 0, 5, -200, 1191, -2416, 1985, -600, 35, 0, -35, 2470, -21465, 62476, -78095, 42930, -8645, 280, 0, 14, -1757, 21912, -88234, 156190, -132351, 51128, -7028, 126]

cp's OEIS Frontend

A342321 T(n, k) = A343277(n)[x^k] p(n, x) where p(n, x) = (1/(n+1))Sum_{k=0..n} (-1)^kE1(n, k)x^(n - k) / binomial(n, k), and E1(n, k) are the Eulerian numbers A123125. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A342321 T(n, k) = A343277(n)*[x^k] p(n, x) where p(n, x) = (1/(n+1))*Sum_{k=0..n} (-1)^k*E1(n, k)*x^(n - k) / binomial(n, k), and E1(n, k) are the Eulerian numbers A123125. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values

A342321 T(n, k) = A343277(n)[x^k] p(n, x) where p(n, x) = (1/(n+1))Sum_{k=0..n} (-1)^kE1(n, k)x^(n - k) / binomial(n, k), and E1(n, k) are the Eulerian numbers A123125. Triangle read by rows, for 0 <= k <= n.