A156588 - cp's OEIS frontend

A156588 A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)StirlingS1[k - 1, i](m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].

n	a(n)
0	1
1	1
2	1
3	1
4	-1
5	2
6	1
7	-1
8	2
9	6
10	1
11	-1
12	3
13	-12
14	24
15	1
16	-1
17	4
18	-36
19	288
20	120
21	1
22	-1
23	5
24	-80
25	2160
26	-34560
27	720
28	1
29	-1
30	6
31	-150
32	9600
33	-777600
34	24883200
35	5040
36	1
37	-1
38	7
39	-252
40	31500
41	-8064000
42	1959552000
43	-125411328000
44	40320
45	1
46	-1
47	8
48	-392
49	84672
50	-52920000

[1, 1, 1, 1, -1, 2, 1, -1, 2, 6, 1, -1, 3, -12, 24, 1, -1, 4, -36, 288, 120, 1, -1, 5, -80, 2160, -34560, 720, 1, -1, 6, -150, 9600, -777600, 24883200, 5040, 1, -1, 7, -252, 31500, -8064000, 1959552000, -125411328000, 40320, 1, -1, 8, -392, 84672, -52920000]

cp's OEIS Frontend

A156588 A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)StirlingS1[k - 1, i](m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].

Table of values

List of values

cp's OEIS Frontend

A156588 A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)*StirlingS1[k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].

Table of values

List of values

A156588 A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)StirlingS1[k - 1, i](m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].