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%I #30 Feb 18 2024 03:34:23
%S 5,3,30,159,885,4902,27165,150531,834150,4622343,25614165,141937854,
%T 786531765,4358472387,24151957230,133835203311,741631888245,
%U 4109665051158,22773220920525,126195099756099,699295161542070,3875061106978647,21473191019519445
%N a(1)=5, a(2)=3, a(n)=5*a(n-1) + 3*a(n-2)
%H Vincenzo Librandi, <a href="/A189747/b189747.txt">Table of n, a(n) for n = 1..100</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,3).
%F G.f.: x*(5-22*x)/(1-5*x-3*x^2). - _Bruno Berselli_, May 24 2011
%t LinearRecurrence[{5,3},{5,3},40]
%o (Maxima) a[1]:5$ a[2]:3$ a[n]:=5*a[n-1]+3*a[n-2]$ makelist(a[n], n, 1, 23); /* _Bruno Berselli_ */, May 24 2011]
%Y Cf. A000045, A000079, A105476, A159612, A080040, A135522, A103435, A189732, A189734, A189735, A189736, A189737, A189738, A189739, A189741, A189742, A189743, A189744, A189745, A189746, A189748, A189749.
%K nonn,easy
%O 1,1
%A _Harvey P. Dale_, Apr 26 2011
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