OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (14,-46).
FORMULA
a(n) = ((3+sqrt(3))*(7+sqrt(3))^n + (3-sqrt(3))*(7-sqrt(3))^n)/2.
G.f.: (3-18*x)/(1-14*x+46*x^2).
E.g.f.: exp(7*x)*( 3*cosh(sqrt(3)*x) + sqrt(3)*sinh(sqrt(3)*x) ). - G. C. Greubel, Jul 26 2017
MATHEMATICA
LinearRecurrence[{14, -46}, {3, 24}, 50] (* G. C. Greubel, Jul 26 2017 *)
PROG
(Magma) [ n le 2 select 21*n-18 else 14*Self(n-1)-46*Self(n-2): n in [1..19] ];
(PARI) x='x+O('x^50); Vec((3-18*x)/(1-14*x+46*x^2)) \\ G. C. Greubel, Jul 26 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Aug 11 2009
STATUS
approved