A014447 Odd Lucas numbers.

1, 3, 7, 11, 29, 47, 123, 199, 521, 843, 2207, 3571, 9349, 15127, 39603, 64079, 167761, 271443, 710647, 1149851, 3010349, 4870847, 12752043, 20633239, 54018521, 87403803, 228826127, 370248451, 969323029, 1568397607, 4106118243

Offset: 0

Author

Mohammad K. Azarian

Keywords

• nonn
• easy

Comments

Lucas(3n+1) union Lucas(3n+2).

Links

• Index entries for linear recurrences with constant coefficients, signature (0,4,0,1)

Programs

Mathematica

Select[LucasL[Range[50]],OddQ] (* Harvey P. Dale, Sep 26 2012 *)

Formula

a(n) = 4*a(n-2)+a(n-4). - R. J. Mathar, Feb 10 2011

G.f.: (-x^3 + 3*x^2 + 3*x + 1)/(-x^4 - 4*x^2 + 1). - Ralf Stephan, Aug 31 2013

Extensions

More terms from Erich Friedman.