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A182462 a(n) = 3a(n-1) - 2a(n-2) with a(0)=20 and a(1)=50.

%I A182462 #22 Jun 30 2023 16:48:05
%S A182462 20,50,110,230,470,950,1910,3830,7670,15350,30710,61430,122870,245750,
%T A182462 491510,983030,1966070,3932150,7864310,15728630,31457270,62914550,
%U A182462 125829110,251658230,503316470,1006632950,2013265910,4026531830,8053063670,16106127350
%N A182462 a(n) = 3a(n-1) - 2a(n-2) with a(0)=20 and a(1)=50.
%C A182462 Number of vertices into building blocks of 3d objects with 5 vertices.
%H A182462 Vincenzo Librandi, <a href="/A182462/b182462.txt">Table of n, a(n) for n = 0..1000</a>
%H A182462 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3, -2).
%F A182462 a(n) = a(n-1)*2 + 10.
%F A182462 a(n) = 10*A153893(n). - _Michel Marcus_, Jun 01 2014
%F A182462 G.f.: -((10*(x - 2))/(2*x^2 - 3*x + 1)). - _Vincenzo Librandi_, Jun 02 2014
%e A182462 a(0) = 5+10+5;
%e A182462 a(1) = 5+10+20+10+5;
%e A182462 a(2) = 5+10+20+40+20+10+5;
%e A182462 a(3) = 5+10+20+40+80+40+20+10+5.
%t A182462 CoefficientList[Series[-((10 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)
%Y A182462 Cf. A000045, A028399, A038578, A089143, A173033, A182461, A182464, A182465, A182466, A182467.
%K A182462 easy,nonn
%O A182462 0,1
%A A182462 _Odimar Fabeny_, Apr 30 2012