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
Crossrefs
Cf. A082029.
Programs
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Mathematica
CoefficientList[Series[E^x*(1+x)/(1-x)^2, {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jul 02 2015 *)
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
Comments