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A182464 a(n) = 3a(n-1) - 2a(n-2) with a(0)=24 and a(1)=60.

%I A182464 #21 May 27 2018 18:05:05
%S A182464 24,60,132,276,564,1140,2292,4596,9204,18420,36852,73716,147444,
%T A182464 294900,589812,1179636,2359284,4718580,9437172,18874356,37748724,
%U A182464 75497460,150994932,301989876,603979764,1207959540,2415919092,4831838196,9663676404,19327352820,38654705652
%N A182464 a(n) = 3a(n-1) - 2a(n-2) with a(0)=24 and a(1)=60.
%C A182464 Number of vertices into building blocks of 3d objects with 6 vertices.
%H A182464 Vincenzo Librandi, <a href="/A182464/b182464.txt">Table of n, a(n) for n = 0..1000</a>
%H A182464 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A182464 a(n) = a(n-1)*2 + 12.
%F A182464 a(n) = 12*A153893(n). - _Michel Marcus_, Jun 01 2014
%F A182464 G.f.: -((12*(x-2))/(2*x^2-3*x+1)). - _Vincenzo Librandi_, Jun 01 2014
%e A182464 a(0) = 6+12+6;
%e A182464 a(1) = 6+12+24+12+6;
%e A182464 a(2) = 6+12+24+48+24+12+6;
%e A182464 a(3) = 6+12+24+48+96+48+24+12+6.
%t A182464 CoefficientList[Series[-((12 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 01 2014 *)
%t A182464 LinearRecurrence[{3,-2},{24,60},40] (* _Harvey P. Dale_, May 27 2018 *)
%Y A182464 Cf. A000045, A028399, A038578, A089143, A173033, A182461, A182462, A182465, A182466, A182467.
%K A182464 easy,nonn
%O A182464 0,1
%A A182464 _Odimar Fabeny_, Apr 30 2012