OFFSET
0,1
COMMENTS
Binomial transform of A163067.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..985
Index entries for linear recurrences with constant coefficients, signature (16,-59).
FORMULA
a(n) = ((2+sqrt(5))*(8+sqrt(5))^n + (2-sqrt(5))*(8-sqrt(5))^n)/2.
G.f.: (2-11*x)/(1-16*x+59*x^2).
MATHEMATICA
LinearRecurrence[{16, -59}, {2, 21}, 30] (* G. C. Greubel, Jan 08 2018 *)
PROG
(Magma) [ n le 2 select 19*n-17 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];
(PARI) x='x+O('x^30); Vec((2-11*x)/(1-16*x+59*x^2)) \\ G. C. Greubel, Jan 08 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Jul 20 2009
EXTENSIONS
Definition corrected by Vincenzo Librandi, Dec 18 2010
STATUS
approved