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A182466 a(n) = 3a(n-1) - 2a(n-2) with a(0)=32 and a(1)=80.

%I A182466 #24 Aug 01 2015 09:13:36
%S A182466 32,80,176,368,752,1520,3056,6128,12272,24560,49136,98288,196592,
%T A182466 393200,786416,1572848,3145712,6291440,12582896,25165808,50331632,
%U A182466 100663280,201326576,402653168,805306352,1610612720,3221225456,6442450928,12884901872,25769803760,51539607536
%N A182466 a(n) = 3a(n-1) - 2a(n-2) with a(0)=32 and a(1)=80.
%C A182466 Number of vertices into building blocks of 3d objects with 8 vertices.
%H A182466 Harvey P. Dale, <a href="/A182466/b182466.txt">Table of n, a(n) for n = 0..1000</a>
%H A182466 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3, -2).
%F A182466 a(n) = a(n-1)*2 + 16.
%F A182466 a(n) = 8*(3*2^n-2). - _Harvey P. Dale_, Aug 23 2012
%F A182466 G.f.: -((16(x-2))/(2*x^2-3*x+1)). - _Harvey P. Dale_, Aug 23 2012
%e A182466 a(0) = 8+16+8;
%e A182466 a(1) = 8+16+32+16+8;
%e A182466 a(2) = 8+16+32+64+32+16+8;
%e A182466 a(3) = 8+16+32+64+128+64+32+16+8.
%t A182466 LinearRecurrence[{3,-2},{32,80},40] (* or *) Table[8(3*2^n-2),{n,40}] (* _Harvey P. Dale_, Aug 23 2012 *)
%t A182466 CoefficientList[Series[-((16 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)
%Y A182466 Cf. A000045, A028399, A038578, A089143, A173033, A182461, A182462, A182464, A182465, A182467.
%K A182466 nonn,easy
%O A182466 0,1
%A A182466 _Odimar Fabeny_, Apr 30 2012