A082028 Expansion of exp(x)*(1+x)/(1-x)^2.

1, 4, 17, 82, 457, 2936, 21529, 178102, 1644017, 16768972, 187417921, 2278607354, 29947410937, 423169937152, 6398329449737, 103084196690206, 1763095226149729, 31906336189354772, 609120963614954737

Offset

0,2

Comments

Binomial transform of A007680.

Links

Table of n, a(n) for n=0..18.

Formula

E.g.f.: exp(x)(1+x)/(1-x)^2.

D-finite with recurrence -2*a(n) + (2*n+7)*a(n-1) - 5*n*a(n-2) + 3*(n-2)*a(n-3) = 0. - R. J. Mathar, Nov 09 2012

a(n) ~ n! * 2*exp(1)*n. - Vaclav Kotesovec, Jul 02 2015

Mathematica

CoefficientList[Series[E^x*(1+x)/(1-x)^2, {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jul 02 2015 *)

Crossrefs

Cf. A082029.

Sequence in context: A230126 A181517 A110771 * A377960 A373931 A052315

Adjacent sequences: A082025 A082026 A082027 * A082029 A082030 A082031

Keyword

easy,nonn

Author

Paul Barry, Apr 01 2003

Status

approved