A152249 - cp's OEIS frontend

A152249 Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k(1 - x)^(p + k)/(k!(p - 1)!))Sum[(p - 1 + j)!j^kx^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^mm!M[n, m, x])/n.

n	a(n)
1	1
2	1
3	6
4	1
5	19
6	36
7	1
8	46
9	241
10	216
11	1
12	101
13	1091
14	2551
15	1296
16	1
17	212
18	4182
19	18932
20	24337
21	7776
22	1
23	435
24	14666
25	113366
26	273141
27	217015
28	46656
29	1
30	882
31	48783
32	600124
33	2385999
34	3487218
35	1845697
36	279936
37	1
38	1777
39	156933
40	2937109
41	17931235
42	42397299

[1, 1, 6, 1, 19, 36, 1, 46, 241, 216, 1, 101, 1091, 2551, 1296, 1, 212, 4182, 18932, 24337, 7776, 1, 435, 14666, 113366, 273141, 217015, 46656, 1, 882, 48783, 600124, 2385999, 3487218, 1845697, 279936, 1, 1777, 156933, 2937109, 17931235, 42397299]

cp's OEIS Frontend

A152249 Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k(1 - x)^(p + k)/(k!(p - 1)!))Sum[(p - 1 + j)!j^kx^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^mm!M[n, m, x])/n.

Table of values

List of values

cp's OEIS Frontend

A152249 Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k*(1 - x)^(p + k)/(k!(p - 1)!))*Sum[(p - 1 + j)!*j^k*x^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^m*m!*M[n, m, x])/n.

Table of values

List of values

A152249 Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k(1 - x)^(p + k)/(k!(p - 1)!))Sum[(p - 1 + j)!j^kx^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^mm!M[n, m, x])/n.