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%I #8 Apr 06 2018 15:34:01
%S 1,1,2,2,7,7,35,43,238,341,1981,3030,18649,29597,190809,311294,
%T 2072334,3462486,23551368,40166551,277378932,481159175,3362641488,
%U 5912848608,41749776145,74210799645,528856595713,948300730648,6814672450367,12308638880274,89116042070616
%N Number of Dyck paths of semilength n having equal areas above the path and below the path, measured within the smallest enclosing rectangle based on the x-axis.
%H Alois P. Heinz, <a href="/A300952/b300952.txt">Table of n, a(n) for n = 0..51</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%e .__________.
%e a(5) = 7: | /\ |
%e .______________________________________________________| / \ |
%e | /\/\ | /\ | /\ | /\ | /\/\ | / \ |
%e .__________| / \ | / \/\/\ | /\/ \/\ | /\/\/ \ | / \ | / \ |
%e |/\/\/\/\/\|/______\/\|/________\|/________\|/________\|/\/______\|/________\| .
%Y Column k=0 of A300953.
%Y Cf. A000108, A300323.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Mar 16 2018
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