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%I #11 Dec 06 2022 17:26:02
%S 1,4,19,70,245,856,2967,10164,34463,115904,387379,1288574,4270853,
%T 14116936,46567963,153385198
%N Number of ways to partition an n X 4 grid into 2 connected equal-area regions
%H Manuel Kauers, Christoph Koutschan, and George Spahn, <a href="https://arxiv.org/abs/2209.01787">A348456(4) = 7157114189</a>, arXiv:2209.01787 [math.CO], 2022.
%H Manuel Kauers, Christoph Koutschan, and George Spahn, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Kauers/kauers6.html">How Does the Gerrymander Sequence Continue?</a>, J. Int. Seq., Vol. 25 (2022), Article 22.9.7.
%e All solutions for n=3
%e ...1.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1
%e ...1.1.2.2...1.2.1.2...1.2.2.1...1.2.2.2...2.1.1.2...2.1.2.1...2.2.1.1
%e ...2.2.2.2...2.2.2.2...2.2.2.2...1.2.2.2...2.2.2.2...2.2.2.2...2.2.2.2
%e ------
%e ...1.1.1.1...1.1.1.2...1.1.1.2...1.1.1.2...1.1.1.2...1.1.2.2...1.1.2.2
%e ...2.2.2.1...1.1.1.2...1.1.2.2...1.2.1.2...1.2.2.2...1.1.1.2...1.1.2.2
%e ...2.2.2.1...2.2.2.2...1.2.2.2...1.2.2.2...1.1.2.2...1.2.2.2...1.1.2.2
%e ------
%e ...1.1.2.2...1.2.2.2...1.2.2.2...1.2.2.2...1.2.2.2
%e ...1.2.2.2...1.1.1.2...1.1.2.2...1.2.1.2...1.2.2.2
%e ...1.1.1.2...1.1.2.2...1.1.1.2...1.1.1.2...1.1.1.1
%K nonn,more
%O 1,2
%A _R. H. Hardin_, Oct 31 2009
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