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A189749 a(1)=5, a(2)=5, a(n)=5*a(n-1) + 5*a(n-2). 13

%I #31 Feb 18 2024 03:33:48

%S 5,5,50,275,1625,9500,55625,325625,1906250,11159375,65328125,

%T 382437500,2238828125,13106328125,76725781250,449160546875,

%U 2629431640625,15392960937500,90111962890625,527524619140625,3088182910156250,18078537646484375,105833602783203125

%N a(1)=5, a(2)=5, a(n)=5*a(n-1) + 5*a(n-2).

%H Vincenzo Librandi, <a href="/A189749/b189749.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 (5,5).

%F G.f.: 5*x*(1-4*x)/(1-5*x-5*x^2). - _Bruno Berselli_, May 24 2011

%F a(n) = 5*A188168(n). - _R. J. Mathar_, Feb 13 2020

%t LinearRecurrence[{5,5},{5,5},40]

%o (Maxima) a[1]:5$ a[2]:5$ a[n]:=5*a[n-1]+5*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, A189747, A189748.

%K nonn,easy

%O 1,1

%A _Harvey P. Dale_, Apr 26 2011

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Last modified May 7 09:38 EDT 2024. Contains 372302 sequences. (Running on oeis4.)