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A083227 a(n) = (9*10^n + (-10)^n)/10. 2
1, 8, 100, 800, 10000, 80000, 1000000, 8000000, 100000000, 800000000, 10000000000, 80000000000, 1000000000000, 8000000000000, 100000000000000, 800000000000000, 10000000000000000, 80000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,100).

FORMULA

a(n) = (9*10^n + (-10)^n)/10.

G.f.: (1+8*x)/((1+10*x)*(1-10*x)).

E.g.f.: (9*exp(10*x) + exp(-10*x))/10.

MATHEMATICA

LinearRecurrence[{0, 100}, {1, 8}, 20] (* Harvey P. Dale, Jun 02 2019 *)

PROG

(MAGMA) [(9*10^n+(-10)^n)/10: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

(PARI) a(n)= (9*10^n+(-10)^n)/10 \\ Charles R Greathouse IV, Jun 29 2011

CROSSREFS

Cf. A083226.

Sequence in context: A316870 A181034 A324067 * A261742 A222486 A229282

Adjacent sequences:  A083224 A083225 A083226 * A083228 A083229 A083230

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified May 18 23:31 EDT 2022. Contains 353826 sequences. (Running on oeis4.)