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%I #9 Dec 28 2019 19:48:36
%S 0,1,10,48,176,560,1632,4480,11776,29952,74240,180224,430080,1011712,
%T 2351104,5406720,12320768,27852800,62521344,139460608,309329920,
%U 682622976,1499463680,3279945728,7147094016,15518924800,33587986432
%N Inverse binomial transform of n^2*3^(n-1).
%C Binomial transform of octagonal numbers A000567. Inverse binomial transform of A069996.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,8).
%F a(n)=n(3n - 1)2^(n - 2).
%F O.g.f.: -x*(1+4*x)/(-1+2*x)^3. - _R. J. Mathar_, Apr 02 2008
%t LinearRecurrence[{6,-12,8},{0,1,10},30] (* _Harvey P. Dale_, Dec 28 2019 *)
%K easy,nonn
%O 0,3
%A _Paul Barry_, Jun 09 2003
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