OFFSET
0,2
LINKS
Vincenzo Librandi,Table of n, a(n) for n = 0..900
Index entries for linear recurrences with constant coefficients,signature (25,-178,264).
FORMULA
FromVincenzo Librandi,Oct 09 2011: (Start)
a(n) = (648*12^n + 2^(n+1) - 5*11^(n+2))/45.
a(n) = 23*a(n-1) - 132*a(n-2) + 2^n.
a(n) = 25*a(n-1) - 178*a(n-2) + 264*a(n-3), n >= 3. (End)
MATHEMATICA
CoefficientList[Series[1/((1 - 2 x) (1 - 11 x) (1 - 12 x)), {x, 0, 15}], x] (*Michael De Vlieger,Jan 31 2018 *)
PROG
(Sage) [(12^n - 2^n)/10-(11^n - 2^n)/9 for n in range(2, 18)] #Zerinvary Lajos,Jun 05 2009
(Magma) [(648*12^n +2^(n+1)-5*11^(n+2))/45: n in [0..20]]; //Vincenzo Librandi,Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-11*x)*(1-12*x))+O(x^99)) \\Charles R Greathouse IV,Sep 26 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved