OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (11, -22).
FORMULA
a(n) = ((11+sqrt(33))^n-(11-sqrt(33))^n)/(2^n*sqrt(33)).
E.g.f.: (2/sqrt(33))*exp(11*x/2)*sinh(sqrt(33)*x/2). - G. C. Greubel, Dec 18 2015
G.f.: x/(1-11*x+22*x^2). - G. C. Greubel, Dec 18 2015
MATHEMATICA
LinearRecurrence[{11, -22}, {0, 1}, 50] (* T. D. Noe, May 23 2011 *)
PROG
(PARI) concat(0, Vec(x/(1-11*x+22*x^2) + O(x^100))) \\ Altug Alkan, Dec 18 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
Rolf Pleisch, May 22 2011
EXTENSIONS
Extended by T. D. Noe, May 23 2011
STATUS
approved