A360175 - cp's OEIS frontend

A360175 a(n) = Sum_{k=0..n} (-1)^(n-k)(n!/k!) [x^n] (1 - exp(-LambertW(x*exp(-x))))^k.

n	a(n)
0	1
1	1
2	6
3	53
4	647
5	10092
6	191915
7	4309769
8	111682044
9	3281731611
10	107860953795
11	3921762633846
12	156322429050397
13	6779458454252941
14	317841794915501862
15	16020304439710056785
16	863955306007083830051
17	49641711131738762890764
18	3027776406780183894833791
19	195382900651186641677702197

[1, 1, 6, 53, 647, 10092, 191915, 4309769, 111682044, 3281731611, 107860953795, 3921762633846, 156322429050397, 6779458454252941, 317841794915501862, 16020304439710056785, 863955306007083830051, 49641711131738762890764, 3027776406780183894833791, 195382900651186641677702197]

cp's OEIS Frontend

A360175 a(n) = Sum_{k=0..n} (-1)^(n-k)(n!/k!) [x^n] (1 - exp(-LambertW(x*exp(-x))))^k.

Table of values

List of values

cp's OEIS Frontend

A360175 a(n) = Sum_{k=0..n} (-1)^(n-k)*(n!/k!) * [x^n] (1 - exp(-LambertW(x*exp(-x))))^k.

Table of values

List of values

A360175 a(n) = Sum_{k=0..n} (-1)^(n-k)(n!/k!) [x^n] (1 - exp(-LambertW(x*exp(-x))))^k.