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A014447 Odd Lucas numbers. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

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

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Last modified July 25 02:57 EDT 2021. Contains 346282 sequences. (Running on oeis4.)