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A062397 a(n) = 10^n+1. 32
2, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 10000000001, 100000000001, 1000000000001, 10000000000001, 100000000000001, 1000000000000001, 10000000000000001, 100000000000000001 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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) = 10*a(n-1)-9 = A011557(n)+1 = A002283(n)+2

G.f.: 1/(1-x)+1/(1-10*x). E.g.f.: exp(x)+exp(10*x). - Mohammad K. Azarian, Jan 02 2009

MATHEMATICA

LinearRecurrence[{11, -10}, {2, 11}, 18] (* Ray Chandler, Aug 26 2015 *)

PROG

(MAGMA) [10^n + 1: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011

(PARI) a(n)=10^n+1 \\ Charles R Greathouse IV, Sep 24 2015

CROSSREFS

Except for the initial term, essentially the same as A000533. Cf. A054977, A007395, A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600-A074624, A034524, A178248, A228081 for numbers one more than powers, i.e. this sequence translated from base n(>2) to base 10.

Sequence in context: A036953 A254320 A115062 * A158578 A003617 A114018

Adjacent sequences:  A062394 A062395 A062396 * A062398 A062399 A062400

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Jun 22 2001

STATUS

approved

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Last modified June 23 21:29 EDT 2017. Contains 288675 sequences.