OFFSET
0,3
COMMENTS
A linear 2nd-order recurrence.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (9,5).
FORMULA
G.f.: x/(1 - 9*x - 5*x^2). - R. J. Mathar, Dec 02 2007
MATHEMATICA
Join[{a=0, b=1}, Table[c=9*b+5*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 27 2011 *)
LinearRecurrence[{9, 5}, {0, 1}, 30] (* Vincenzo Librandi, Nov 15 2012 *)
PROG
(Sage) [lucas_number1(n, 9, -5) for n in range(0, 19)] # Zerinvary Lajos, Apr 26 2009
(Magma) [n le 2 select n-1 else 9*Self(n-1) + 5*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 15 2012
(PARI) x='x+O('x^30); concat([0], Vec(x/(1-9*x-5*x^2))) \\ G. C. Greubel, Jan 06 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Extended by T. D. Noe, May 23 2011
STATUS
approved