A199763 a(n) = 9*11^n + 1.
10, 100, 1090, 11980, 131770, 1449460, 15944050, 175384540, 1929229930, 21221529220, 233436821410, 2567805035500, 28245855390490, 310704409295380, 3417748502249170, 37595233524740860, 413547568772149450, 4549023256493643940, 50039255821430083330, 550431814035730916620
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).
Crossrefs
Cf. A199760.
Programs
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Magma
[9*11^n+1: n in [0..30]];
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Mathematica
9*11^Range[0,20]+1 (* or *) LinearRecurrence[{12,-11},{10,100},20] (* Harvey P. Dale, Sep 06 2021 *)
Formula
a(n) = 11*a(n-1) - 10.
a(n) = 12*a(n-1) - 11*a(n-2).
G.f.: 10*(1-2*x)/((1-x)*(1-11*x)).
From Elmo R. Oliveira, Mar 25 2025: (Start)
E.g.f.: exp(x)*(9*exp(10*x) + 1).
a(n) = 10*A199760(n). (End)