A171532 - cp's OEIS frontend

A171532 Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]Sum[Eulerian[n-1, k-1]x^(k - 1), {k, 1, n}]/2^Floor[n/2]].

n	a(n)
0	1
1	0
2	2
3	-1
4	-1
5	2
6	2
7	0
8	-6
9	-24
10	-2
11	16
12	4
13	3
14	33
15	21
16	-129
17	-128
18	32
19	44
20	4
21	0
22	30
23	780
24	1940
25	-260
26	-2602
27	-832
28	488
29	208
30	8
31	-15
32	-855
33	-4440
34	600
35	26265
36	23745
37	-12982
38	-17574
39	-1004
40	2356
41	456
42	8
43	0
44	-210
45	-25200
46	-249690
47	-456960
48	249942
49	969360

[1, 0, 2, -1, -1, 2, 2, 0, -6, -24, -2, 16, 4, 3, 33, 21, -129, -128, 32, 44, 4, 0, 30, 780, 1940, -260, -2602, -832, 488, 208, 8, -15, -855, -4440, 600, 26265, 23745, -12982, -17574, -1004, 2356, 456, 8, 0, -210, -25200, -249690, -456960, 249942, 969360]

cp's OEIS Frontend

A171532 Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]Sum[Eulerian[n-1, k-1]x^(k - 1), {k, 1, n}]/2^Floor[n/2]].

Table of values

List of values

cp's OEIS Frontend

A171532 Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[Eulerian[n-1, k-1]*x^(k - 1), {k, 1, n}]/2^Floor[n/2]].

Table of values

List of values

A171532 Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]Sum[Eulerian[n-1, k-1]x^(k - 1), {k, 1, n}]/2^Floor[n/2]].