OFFSET
0,1
COMMENTS
Binomial transform of A143647.
LINKS
FORMULA
a(n) = ((5+sqrt(3))*(6+sqrt(3))^n+(5-sqrt(3))*(6-sqrt(3))^n)/2.
G.f.: (5-27*x)/(1-12*x+33*x^2).
MATHEMATICA
LinearRecurrence[{12, -33}, {5, 33}, 40] (* or *) Simplify[With[ {c=Sqrt[3]}, Table[(11(5+c)(6+c)^n+(53+7c)(6-c)^n)/(22(6+c)), {n, 30}]]] (* Harvey P. Dale, Jun 30 2011 *)
PROG
(Magma) [ n le 2 select 28*n-23 else 12*Self(n-1)-33*Self(n-2): n in [1..20] ];
(PARI) Vec((5-27*x)/(1-12*x+33*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jun 30 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jul 14 2009
STATUS
approved