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%I #17 Jul 03 2023 11:07:38
%S 5,18,66,244,906,3372,12566,46860,174810,652252,2433942,9083004,
%T 33897050,126503148,472111446,1761934444,6575609946,24540472572,
%U 91586214806,341804255580,1275630545370,4760717401612,17767238012502
%N Number of zig-zag paths from top to bottom of a rectangle of width 11 with 2n-1 rows whose color is not that of the top right corner.
%H Joseph Myers, <a href="http://www.polyomino.org.uk/publications/2008/bmo1-2009-q1.pdf">BMO 2008--2009 Round 1 Problem 1---Generalisation</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6, -9, 2).
%F Empirical G.f.: x*(5-12*x+3*x^2)/(1-6*x+9*x^2-2*x^3). - _Colin Barker_, Jan 04 2012
%Y Cf. A153368-A153372.
%K nonn,easy
%O 1,1
%A _Joseph Myers_, Dec 24 2008
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