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a(n) = 10*a(n-1)-24*a(n-2) for n>1, a(0)=1, a(1)=25.
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%I #14 Sep 08 2022 08:45:09

%S 1,25,226,1660,11176,71920,450976,2783680,17013376,103325440,

%T 624933376,3769523200,22696830976,136499752960,820273586176,

%U 4926741790720,29580851838976,177566715412480,1065726709989376,6395665929994240

%N a(n) = 10*a(n-1)-24*a(n-2) for n>1, a(0)=1, a(1)=25.

%H Vincenzo Librandi, <a href="/A081195/b081195.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-24).

%F G.f.: (1+15*x)/((1-4*x)*(1-6*x)).

%F a(n) = 21*6^n/2 - 19*4^n/2.

%t CoefficientList[Series[(1 + 15 x)/((1 - 4 x) (1 - 6 x)), {x, 0, 300}],x] (* _Vincenzo Librandi_, Aug 07 2013 *)

%t LinearRecurrence[{10,-24},{1,25},30] (* _Harvey P. Dale_, Apr 23 2020 *)

%o (Magma) [21*6^n/2-19*4^n/2: n in [0..25]]; // _Vincenzo Librandi_, Aug 07 2013

%K nonn,easy

%O 0,2

%A _Paul Barry_, Mar 11 2003