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%I #29 Jan 01 2024 11:47:59
%S 1,6,23,100,421,1786,7563,32040,135721,574926,2435423,10316620,
%T 43701901,185124226,784198803,3321919440,14071876561,59609425686,
%U 252509579303,1069647742900,4531100550901,19194049946506,81307300336923
%N a(n) = 3*a(n-1) + 5*a(n-2) + a(n-3).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,5,1).
%F a(n) = 3*a(n-1) + 5*a(n-2) + a(n-3).
%F G.f. -x*(1+3*x) / ( (1+x)*(x^2+4*x-1) ). a(n) + a(n+1) = A048876(n). - _R. J. Mathar_, Oct 22 2013
%F a(n) = (Lucas(3n-1) + (-1)^n)/2. - _Greg Dresden_, Oct 09 2020
%Y Cf. A120758, A120757.
%K nonn,easy
%O 1,2
%A _Gary W. Adamson_ and _Roger L. Bagula_, Jul 04 2006
%E Edited by _N. J. A. Sloane_, Dec 03 2006
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