A199764 10*11^n+1.
11, 111, 1211, 13311, 146411, 1610511, 17715611, 194871711, 2143588811, 23579476911, 259374246011, 2853116706111, 31384283767211, 345227121439311, 3797498335832411, 41772481694156511, 459497298635721611, 5054470284992937711
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..900
- Index entries for linear recurrences with constant coefficients, signature (12,-11).
Programs
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Magma
[10*11^n+1: n in [0..20]];
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Mathematica
NestList[11#-10&,11,20] (* or *) LinearRecurrence[{12,-11},{11,111},20] (* Harvey P. Dale, Aug 28 2021 *)
Formula
a(n) = 11*a(n-1)-10.
a(n) = 12*a(n-1)-11*a(n-2).
G.f.: (11-21*x)/((1-x)*(1-11*x)).