A174859 - cp's OEIS frontend

A174859 A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k](-x)^kSum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	-1
6	0
7	1
8	0
9	-5
10	0
11	1
12	3
13	-16
14	15
15	0
16	1
17	10
18	-40
19	25
20	56
21	0
22	1
23	25
24	-81
25	-30
26	370
27	-455
28	0
29	1
30	56
31	-119
32	-469
33	1841
34	-1960
35	-237
36	0
37	1
38	119
39	-22
40	-2527
41	7448
42	-5768
43	-7420
44	16947
45	0
46	1
47	246
48	766
49	-10359
50	24627
51	-2289
52	-76692
53	126504
54	-64220
55	0
56	1

[1, 0, 1, 0, 1, -1, 0, 1, 0, -5, 0, 1, 3, -16, 15, 0, 1, 10, -40, 25, 56, 0, 1, 25, -81, -30, 370, -455, 0, 1, 56, -119, -469, 1841, -1960, -237, 0, 1, 119, -22, -2527, 7448, -5768, -7420, 16947, 0, 1, 246, 766, -10359, 24627, -2289, -76692, 126504, -64220, 0, 1]

cp's OEIS Frontend

A174859 A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k](-x)^kSum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].

Table of values

List of values

cp's OEIS Frontend

A174859 A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].

Table of values

List of values

A174859 A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k](-x)^kSum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].