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%I #10 Jun 30 2023 14:19:08
%S 1,10,88,736,6016,48640,391168,3137536,25133056,201195520,1610088448,
%T 12882804736,103070826496,824600166400,6596935548928,52776021262336,
%U 422210317582336,3377691130593280,27021563404484608,216172644674830336
%N a(n) = (3*8^n-4^n)/2.
%C Binomial transform of A165147. Inverse binomial transform of A165149.
%H Vincenzo Librandi, <a href="/A165148/b165148.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12, -32).
%F a(n) = 12*a(n-1)-32*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
%F G.f.: (1-2*x)/((1-4*x)*(1-8*x)).
%t Table[(3*8^n-4^n)/2,{n,0,20}] (* _Harvey P. Dale_, Jul 23 2014 *)
%o (Magma) [ (3*8^n-4^n)/2: n in [0..19] ];
%Y Cf. A165147, A165149.
%K nonn,easy
%O 0,2
%A _Klaus Brockhaus_, Sep 15 2009
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