A173735 a(n) = (10^n + 26)/9.
3, 4, 14, 114, 1114, 11114, 111114, 1111114, 11111114, 111111114, 1111111114, 11111111114, 111111111114, 1111111111114, 11111111111114, 111111111111114, 1111111111111114, 11111111111111114, 111111111111111114, 1111111111111111114, 11111111111111111114, 111111111111111111114
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..100 (term 0 added by Ivan Panchenko)
- Index entries for linear recurrences with constant coefficients, signature (11,-10).
Programs
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Magma
[(10^n+26)/9: n in [0..20]]; // Ivan Panchenko, Nov 05 2013
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Mathematica
CoefficientList[Series[(3-29*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* Ivan Panchenko, Nov 05 2013 *) -
Maxima
A173735(n):=(10^n+26)/9$ makelist(A173735(n),n,0,20); /* Ivan Panchenko, Nov 03 2013 */
Formula
a(n) = a(n-1) + 10^(n-1) = 10*a(n-1) - 26, a(0)=3.
a(n) = 11*a(n-1) - 10*a(n-2). - Vincenzo Librandi, Jul 05 2012
a(n) = 2*(A002279(n-1) + 2). - Martin Ettl, Nov 12 2012
G.f.: (3-29*x)/((1-x)*(1-10*x)). - Ivan Panchenko, Nov 05 2013
From Elmo R. Oliveira, Jun 18 2025: (Start)
E.g.f.: exp(x)*(26 + exp(9*x))/9.
a(n) = 2*A178769(n-1) for n >= 1. (End)
Extensions
a(0) from Ivan Panchenko, Nov 05 2013