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 A095795 a(0)=2, a(1)=5, a(n+2) = a(n+1) + (-1)^n a(n). 1
 2, 5, 7, 2, 9, 7, 16, 9, 25, 16, 41, 25, 66, 41, 107, 66, 173, 107, 280, 173, 453, 280, 733, 453, 1186, 733, 1919, 1186, 3105, 1919, 5024, 3105, 8129, 5024, 13153, 8129, 21282, 13153, 34435, 21282, 55717, 34435, 90152, 55717, 145869, 90152, 236021, 145869 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Alternate terms form a Lucas sequence. Specifically, a(2n) = A022113(n). - Jonathan Vos Post, Nov 16 2005 LINKS Eric Weisstein's World of Mathematics, Lucas Sequence. Index entries for linear recurrences with constant coefficients, signature (0,1,0,1). FORMULA a(n) = a(n-2) + a(n-4). G.f.: (3*x^3-5*x^2-5*x-2) / (x^4+x^2-1). - Colin Barker, Oct 18 2013 MATHEMATICA CoefficientList[Series[(3*x^3 - 5*x^2 - 5*x - 2)/(x^4 + x^2 - 1), {x, 0, 50}], x] (* Wesley Ivan Hurt, Jan 21 2017 *) CROSSREFS Cf. A022113. Sequence in context: A101245 A004576 A093200 * A088531 A291756 A286463 Adjacent sequences:  A095792 A095793 A095794 * A095796 A095797 A095798 KEYWORD nonn,easy AUTHOR Gary W. Adamson, Jun 06 2004 EXTENSIONS Edited by Don Reble, Nov 15 2005 Missing terms inserted and more terms added by Colin Barker, Oct 18 2013 STATUS approved

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Last modified May 16 06:54 EDT 2021. Contains 343939 sequences. (Running on oeis4.)