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%I #31 Feb 18 2024 03:34:44
%S 5,1,10,51,265,1376,7145,37101,192650,1000351,5194405,26972376,
%T 140056285,727253801,3776325290,19608880251,101820726545,528712512976,
%U 2745383291425,14255628970101,74023528141930,384373269679751,1995889876540685,10363822652383176
%N a(n) = 5*a(n-1) + a(n-2); with a(1)=5, a(2)=1.
%H Vincenzo Librandi, <a href="/A189745/b189745.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 (5,1).
%F G.f.: x*(5-24*x)/(1-5*x-x^2). - _Bruno Berselli_, May 24 2011
%t LinearRecurrence[{5,1},{5,1},40]
%o (Maxima) a[1]:5$ a[2]:1$ a[n]:=5*a[n-1]+a[n-2]$ makelist(a[n], n, 1, 24); /*
%o _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, A189746, A189747, A189748, A189749.
%K nonn,easy
%O 1,1
%A _Harvey P. Dale_, Apr 26 2011
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