(MAGMAMagma) I:=[1, 3]; [n le 2 select I[n] else 8*Self(n-1)-Self(n-2): n in [1..30]]; // Vincenzo Librandi, Oct 12 2015

OEIS Server: https://oeis.org/edit/global/2944

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LinearRecurrence[{8, -1}, {1, 3}, 25] (* Vincenzo Librandi, Oct 12 2015 *)

(MAGMA) I:=[1, 3]; [n le 2 select I[n] else 8*Self(n-1)-Self(n-2): n in [1..30]]; // Vincenzo Librandi, Oct 12 2015

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a(0)=1, a(1)=3, a(n)=) = 8*a(n-1)-) - a(n-2).

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1, 3, 23, 181, 1425, 11219, 88327, 695397, 5474849, 43103395, 339352311, 2671715093, 21034368433, 165603232371, 1303791490535, 10264728691909, 80814038044737, 636247575665987, 5009166567283159, 39437084962599285, 310487513133511121, 2444463020105489683

Colin Barker, <a href="/A144479/b144479.txt">Table of n, a(n) for n = 0..1000</a>

G.f.: (1-5*x)/(1-8*x+x^2). [From _). - _Philippe Deléham_, Mar 28 2009]

a(n) = A001090(n+1)-5*A001090(n). [From _). - _R. J. Mathar_, Mar 29 2009]

a(n) = (((4-sqrt(15))^n*(1+sqrt(15))+(-1+sqrt(15))*(4+sqrt(15))^n))/(2*sqrt(15)). - Colin Barker, Oct 12 2015

(PARI) Vec((1-5*x)/(1-8*x+x^2) + O(x^40)) \\ Colin Barker, Oct 12 2015

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