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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A167247 Number of ways to partition an n X 4 grid into 2 connected equal-area regions.

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%I A167247 #15 Jan 21 2025 16:43:04
%S A167247 1,4,19,70,245,856,2967,10164,34463,115904,387379,1288574,4270853,
%T A167247 14116936,46567963,153385198
%N A167247 Number of ways to partition an n X 4 grid into 2 connected equal-area regions.
%H A167247 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 A167247 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 A167247 All solutions for n=3
%e A167247 ...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 A167247 ...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 A167247 ...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 A167247 ------
%e A167247 ...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 A167247 ...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 A167247 ...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 A167247 ------
%e A167247 ...1.1.2.2...1.2.2.2...1.2.2.2...1.2.2.2...1.2.2.2
%e A167247 ...1.2.2.2...1.1.1.2...1.1.2.2...1.2.1.2...1.2.2.2
%e A167247 ...1.1.1.2...1.1.2.2...1.1.1.2...1.1.1.2...1.1.1.1
%Y A167247 Cf. A167242, A348456.
%K A167247 nonn,more
%O A167247 1,2
%A A167247 _R. H. Hardin_, Oct 31 2009