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A182465 a(n) = 3a(n-1) - 2a(n-2) with a(0)=28 and a(1)=70.

%I A182465 #21 Oct 05 2015 09:14:19
%S A182465 28,70,154,322,658,1330,2674,5362,10738,21490,42994,86002,172018,
%T A182465 344050,688114,1376242,2752498,5505010,11010034,22020082,44040178,
%U A182465 88080370,176160754,352321522,704643058,1409286130,2818572274,5637144562,11274289138,22548578290
%N A182465 a(n) = 3a(n-1) - 2a(n-2) with a(0)=28 and a(1)=70.
%C A182465 Number of vertices into building blocks of 3d objects with 7 vertices.
%H A182465 Vincenzo Librandi, <a href="/A182465/b182465.txt">Table of n, a(n) for n = 0..1000</a>
%H A182465 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A182465 a(n) = a(n-1)*2 + 14.
%F A182465 a(n) = 14*A153893(n). - _Michel Marcus_, Jun 01 2014
%F A182465 G.f.: -((14*(x-2))/(2*x^2-3*x+1)). - _Vincenzo Librandi_, Jun 01 2014
%e A182465 a(0) = 7+14+7;
%e A182465 a(0) = 7+14+28+14+7;
%e A182465 a(0) = 7+14+28+56+28+14+7;
%e A182465 a(0) = 7+14+28+56+112+56+28+14+7.
%t A182465 CoefficientList[Series[-((14 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 01 2014 *)
%t A182465 LinearRecurrence[{3,-2},{28,70},30] (* _Harvey P. Dale_, Oct 05 2015 *)
%Y A182465 Cf. A000045, A028399, A038578, A089143, A173033, A182461, A182462, A182464, A182466, A182467.
%K A182465 nonn,easy
%O A182465 0,1
%A A182465 _Odimar Fabeny_, Apr 30 2012