OFFSET
0,1
COMMENTS
The n-th partial sums of the Taylor expansion of E are f(n) = A061354(n)/A061355(n) = 1, 2, 5/2, 8/3, 65/24, 163/60,.. .
EXAMPLE
a(0)=1+1, a(1)=2+0, a(2)=(5+1)/2, a(3)=(8+1)/3.
MATHEMATICA
a[n_] := (E*Gamma[n+1, 1] + (1/E)*Gamma[n+1, -1])/n! // FullSimplify // Numerator; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, Aug 02 2012 *)
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Paul Curtz, Sep 27 2011
EXTENSIONS
Redefined by reduced fractions. - R. J. Mathar, Jul 02 2012
STATUS
approved