A097818 Expansion of (8+10*x)/((1-x)*(1-100*x)).

8, 818, 81818, 8181818, 818181818, 81818181818, 8181818181818, 818181818181818, 81818181818181818, 8181818181818181818, 818181818181818181818, 81818181818181818181818, 8181818181818181818181818, 818181818181818181818181818, 81818181818181818181818181818, 8181818181818181818181818181818

Offset

0,1

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (101,-100).

Formula

a(n) = (90*100^n - 2)/11.

From Elmo R. Oliveira, Mar 05 2025: (Start)

E.g.f.: 2*exp(x)*(45*exp(99*x) - 1)/11.

a(n) = 101*a(n-1) - 100*a(n-2). (End)

Prog

(PARI) Vec((8+10*x)/((1-x)*(1-100*x)) + O(x^20)) \\ Elmo R. Oliveira, Mar 05 2025
(PARI) a(n)=90*100^n\11 \\ Charles R Greathouse IV, Mar 05 2025

Crossrefs

Sequence in context: A054945 A158817 A159707 * A360195 A262379 A175411

Adjacent sequences: A097815 A097816 A097817 * A097819 A097820 A097821

Keyword

easy,nonn,changed

Author

Paul Barry, Aug 26 2004

Status

approved