OFFSET
0,2
COMMENTS
T(k,n) = ((k+3)^n+k+1)/(k+2).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..900
Index entries for linear recurrences with constant coefficients, signature (13,-12).
FORMULA
a(n) = (12^n + 10)/11; a(0)=1, a(n) = 12*a(n-1) - 10.
G.f.: (1-11*x)/((1-x)*(1-12*x)). - Bruno Berselli, Oct 11 2011
From Elmo R. Oliveira, Aug 30 2024: (Start)
E.g.f.: exp(x)*(exp(11*x) + 10)/11.
a(n) = 13*a(n-1) - 12*a(n-2) for n > 1. (End)
MATHEMATICA
LinearRecurrence[{13, -12}, {1, 2}, 30] (* Harvey P. Dale, Sep 07 2015 *)
PROG
(Magma) [(12^n+10)/11: n in [0..20]];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 11 2011
STATUS
approved