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A163664 a(n) = 10^(2*n) + 10^n. 4
110, 10100, 1001000, 100010000, 10000100000, 1000001000000, 100000010000000, 10000000100000000, 1000000001000000000, 100000000010000000000, 10000000000100000000000, 1000000000001000000000000, 100000000000010000000000000, 10000000000000100000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A161168(n) or A063376(n) for n >= 1 written in base 2.

The digits from the left to the right: a 1, (n-1) times 0, a 1, and n times 0.

LINKS

Table of n, a(n) for n=1..14.

Index entries for linear recurrences with constant coefficients, signature (110,-1000).

FORMULA

a(n) = 110*a(n-1) - 1000*a(n-2).

a(n) = 10*A163449(n).

G.f.: 10*x*(11 -200*x)/((100*x-1)*(10*x-1)).

E.g.f.: exp(100*x) + exp(10*x) -2. - G. C. Greubel, Aug 01 2017

MATHEMATICA

LinearRecurrence[{110, -1000}, {110, 10100}, 50] (* G. C. Greubel, Aug 01 2017 *)

PROG

(PARI) x='x+O('x^50); Vec(10*x*(11 -200*x)/((100*x-1)*(10*x-1))) \\ G. C. Greubel, Aug 01 2017

CROSSREFS

Sequence in context: A146495 A063751 A266179 * A266844 A265319 A267854

Adjacent sequences:  A163661 A163662 A163663 * A163665 A163666 A163667

KEYWORD

nonn,base,easy

AUTHOR

Jaroslav Krizek, Aug 02 2009

EXTENSIONS

Edited by R. J. Mathar, Aug 06 2009

STATUS

approved

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Last modified April 20 04:42 EDT 2019. Contains 322294 sequences. (Running on oeis4.)