OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (12,-34).
FORMULA
a(n) = ((1+2*sqrt(2))*(6+sqrt(2))^n + (1-2*sqrt(2))*(6-sqrt(2))^n)/2.
O.g.f.: (1 - 2*x)/(1 - 12*x + 34*x^2).
E.g.f.: exp(6*x)*( cosh(sqrt(2)*x) + 2*sqrt(2)*sinh(sqrt(2)*x) ). - G. C. Greubel, Dec 21 2016
MATHEMATICA
LinearRecurrence[{12, -34}, {1, 10}, 50] (* G. C. Greubel, Dec 21 2016 *)
PROG
(Magma) [n le 2 select 9*n-8 else 12*Self(n-1)-34*Self(n-2): n in [1..20]];
(PARI) Vec((1-2*x)/(1-12*x+34*x^2) + O(x^50)) \\ G. C. Greubel, Dec 21 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jul 27 2009
STATUS
approved