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

0,2

Comments

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

Links

Table of n, a(n) for n=0..30.

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

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

Mathematica

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

Crossrefs

Cf. A000032.

Sequence in context: A343718 A264803 A117790 * A233517 A125879 A238673

Adjacent sequences: A014444 A014445 A014446 * A014448 A014449 A014450

Keyword

nonn,easy

Author

Mohammad K. Azarian

Extensions

More terms from Erich Friedman

Status

approved