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 (16,-62).
FORMULA
a(n) = ((1+sqrt(2))*(8+sqrt(2))^n + (1-sqrt(2))*(8-sqrt(2))^n)/2.
G.f.: (1-6*x)/(1-16*x+62*x^2).
E.g.f.: exp(8*x)*( cosh(sqrt(2)*x) + sqrt(2)*sinh(sqrt(2)*x) ). - G. C. Greubel, Dec 23 2016
MATHEMATICA
LinearRecurrence[{16, -62}, {1, 10}, 30] (* Harvey P. Dale, Sep 25 2015 *)
PROG
(Magma) [ n le 2 select 9*n-8 else 16*Self(n-1)-62*Self(n-2): n in [1..19] ];
(PARI) Vec((1-6*x)/(1-16*x+62*x^2) + O(x^50)) \\ G. C. Greubel, Dec 23 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Jul 27 2009
STATUS
approved