A356602 - cp's OEIS frontend

A356602 Triangle read by rows. T(n, k) = numerator(Integral_{z=0..1} Eulerian(n, k)z^(k + 1)(z - 1)^(n - k - 1) dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1.

n	a(n)
0	1
1	1
2	0
3	-1
4	1
5	0
6	1
7	-1
8	1
9	0
10	-1
11	11
12	-11
13	1
14	0
15	1
16	-13
17	11
18	-13
19	1
20	0
21	-1
22	19
23	-151
24	302
25	-19
26	1
27	0
28	1
29	-5
30	1191
31	-302
32	397
33	-15
34	1
35	0
36	-1
37	247
38	-477
39	15619
40	-15619
41	477
42	-247
43	1
44	0
45	1
46	-251
47	1826
48	-44117
49	15619
50	-44117
51	1826
52	-251
53	1
54	0

[1, 1, 0, -1, 1, 0, 1, -1, 1, 0, -1, 11, -11, 1, 0, 1, -13, 11, -13, 1, 0, -1, 19, -151, 302, -19, 1, 0, 1, -5, 1191, -302, 397, -15, 1, 0, -1, 247, -477, 15619, -15619, 477, -247, 1, 0, 1, -251, 1826, -44117, 15619, -44117, 1826, -251, 1, 0]

cp's OEIS Frontend

A356602 Triangle read by rows. T(n, k) = numerator(Integral_{z=0..1} Eulerian(n, k)z^(k + 1)(z - 1)^(n - k - 1) dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1.

Table of values

List of values

cp's OEIS Frontend

A356602 Triangle read by rows. T(n, k) = numerator(Integral_{z=0..1} Eulerian(n, k)*z^(k + 1)*(z - 1)^(n - k - 1) dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1.

Table of values

List of values

A356602 Triangle read by rows. T(n, k) = numerator(Integral_{z=0..1} Eulerian(n, k)z^(k + 1)(z - 1)^(n - k - 1) dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1.