A173737 (10^n+44)/9 for n>0.
6, 16, 116, 1116, 11116, 111116, 1111116, 11111116, 111111116, 1111111116, 11111111116, 111111111116, 1111111111116, 11111111111116, 111111111111116, 1111111111111116, 11111111111111116, 111111111111111116
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..100
- Index entries for linear recurrences with constant coefficients, signature (11,-10).
Programs
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Magma
[(10^n+44)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
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Mathematica
CoefficientList[Series[(6-50*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* Vincenzo Librandi, Jul 05 2012 *) -
Maxima
A173737(n):=(10^n+44)/9$ makelist(A173737(n),n,1,20); /* Martin Ettl, Nov 08 2012 */
Formula
a(n) = a(n-1)+10^(n-1) = 10*a(n-1)-44 with n>0, a(0)=5.
G.f.: x*(6-50*x)/((1-x)*(1-10*x)). - Vincenzo Librandi, Jul 05 2012
a(n) = 11*a(n-1) -10*a(n-2) with a(0)=5, a(1)=6. - Vincenzo Librandi, Jul 05 2012
a(n) = (A002279(n-1)+3)*2. - Martin Ettl, Nov 08 2012