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A182461 a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=16 and a(1)=40.

%I A182461 #31 Jun 30 2023 16:47:07
%S A182461 16,40,88,184,376,760,1528,3064,6136,12280,24568,49144,98296,196600,
%T A182461 393208,786424,1572856,3145720,6291448,12582904,25165816,50331640,
%U A182461 100663288,201326584,402653176,805306360,1610612728,3221225464,6442450936,12884901880
%N A182461 a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=16 and a(1)=40.
%C A182461 Number of vertices into building blocks of 3d objects with 4 vertices.
%H A182461 Vincenzo Librandi, <a href="/A182461/b182461.txt">Table of n, a(n) for n = 0..1000</a>
%H A182461 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3, -2).
%F A182461 a(n) = a(n-1)*2 + 8.
%F A182461 G.f.: 16 + 40*x + 88*x^2 + 184*x^3 + 376*x^4 + 760*x^5 + 1528*x^6 + ...
%F A182461 a(n) = 8 * A055010(n+1). [_Joerg Arndt_, Jun 01 2014]
%F A182461 G.f.: -((8*(x - 2))/(2*x^2 - 3*x + 1)). - _Vincenzo Librandi_, Jun 02 2014
%e A182461 a(0) = 4+8+4;
%e A182461 a(1) = 4+8+16+8+4;
%e A182461 a(2) = 4+8+16+32+16+8+4;
%e A182461 a(3) = 4+8+16+32+64+32+16+8+4.
%t A182461 CoefficientList[Series[-((8 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)
%Y A182461 Cf. A000045, A028399, A038578, A089143, A173033, A182462, A182464, A182465, A182466, A182467.
%K A182461 nonn,easy
%O A182461 0,1
%A A182461 _Odimar Fabeny_, Apr 30 2012