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A062397
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a(n) = 10^n+1.
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32
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2, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 10000000001, 100000000001, 1000000000001, 10000000000001, 100000000000001, 1000000000000001, 10000000000000001, 100000000000000001
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (11, -10).
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FORMULA
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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
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MATHEMATICA
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LinearRecurrence[{11, -10}, {2, 11}, 18] (* Ray Chandler, Aug 26 2015 *)
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley, Jun 22 2001
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STATUS
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approved
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