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A097166 Expansion of (1+2*x)/((1-x)*(1-10*x)). 7
1, 13, 133, 1333, 13333, 133333, 1333333, 13333333, 133333333, 1333333333, 13333333333, 133333333333, 1333333333333, 13333333333333, 133333333333333, 1333333333333333, 13333333333333333, 133333333333333333 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of (1+2x)/(1-10x)={1,12,120,1200,...}. Second binomial transform of A082365.

LINKS

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

Index entries for linear recurrences with constant coefficients,signature (11,-10).

FORMULA

a(n) = 4*10^n/3-1/3.

a(n) = A097169(2n).

a(n) = 10*a(n-1)+3, n>0. a(n) = 11*a(n-1)-10*a(n-2), n>1. - Vincenzo Librandi, Nov 01 2011

MATHEMATICA

NestList[10#+3&, 1, 20] (* Harvey P. Dale, Jan 22 2014 *)

PROG

(MAGMA) [(4*10^n-1)/3 : n in [0..20]]; // Vincenzo Librandi, Nov 01 2011

CROSSREFS

Sequence in context: A016153 A187732 A031138 * A073556 A154999 A228277

Adjacent sequences:  A097163 A097164 A097165 * A097167 A097168 A097169

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Jul 30 2004

STATUS

approved

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Last modified December 16 12:31 EST 2018. Contains 318160 sequences. (Running on oeis4.)