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 (14,-47).
FORMULA
a(n) = ((2+sqrt(2))*(7+sqrt(2))^n + (2-sqrt(2))*(7-sqrt(2))^n)/4.
G.f.: (1-6*x)/(1-14*x+47*x^2).
E.g.f.: (1/2)*exp(7*x)*(sqrt(2)*sinh(sqrt(2)*x) + 2*cosh(sqrt(2)*x)). - G. C. Greubel, Dec 24 2016
MATHEMATICA
LinearRecurrence[{14, -47}, {1, 8}, 50] (* G. C. Greubel, Dec 24 2016 *)
PROG
(Magma) [ n le 2 select 7*n-6 else 14*Self(n-1)-47*Self(n-2): n in [1..20] ];
(PARI) Vec((1-6*x)/(1-14*x+47*x^2) + O(x^50)) \\ G. C. Greubel, Dec 24 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Jul 28 2009
STATUS
approved