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%I #27 Sep 08 2022 08:44:38
%S 5,125,3125,78125,1953125,48828125,1220703125,30517578125,
%T 762939453125,19073486328125,476837158203125,11920928955078125,
%U 298023223876953125,7450580596923828125,186264514923095703125
%N a(n) = 5^(2*n + 1).
%H Vincenzo Librandi, <a href="/A013710/b013710.txt">Table of n, a(n) for n = 0..200</a>
%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (25).
%F From _Philippe Deléham_, Nov 23 2008: (Start)
%F a(n) = 25*a(n-1); a(0)=5.
%F G.f.: 5/(1-25*x). (End)
%F E.g.f.: 5*exp(25*x). - _Mohammad K. Azarian_, Dec 23 2008
%t NestList[25#&,5,20] (* _Harvey P. Dale_, Aug 08 2013 *)
%o (Magma) [5^(2*n+1): n in [0..20]]; // _Vincenzo Librandi_, May 26 2011
%o (PARI) a(n)=5^(2*n+1) \\ _Charles R Greathouse IV_, Jul 11 2016
%Y Cf. A000351.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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