PROG
(MAGMAMagma) [9^n + 1: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
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(MAGMAMagma) [9^n + 1: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-9).
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a(n) = 9^n + 1.
a(n) = 9*a(n-1) - 8 = A001019(n) + 1 = 10*a(n-1) - 9*a(n-2).
From Mohammad K. Azarian, Jan 02 2009: (Start)
G.f.: 1/(1-x) + 1/(1-9*x). E.g.f.: e^x+e^(9*x). - _Mohammad K. Azarian_, Jan 02 2009
E.g.f.: e^x + e^(9*x). (End)
(MAGMA) [9^n + 1: n in [0..35]]; // _Vincenzo Librandi, _, Apr 30 2011
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G.f.: 1/(1-x)+1/(1-9*x). E.g.f.: e^x+e^(9*x). [From _- _Mohammad K. Azarian_, Jan 02 2009]
(PARI) a(n)=9^n+1 \\ Charles R Greathouse IV, Sep 24 2015
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<a href="/index/Rea#recLCCRec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-9).
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