cp's OEIS Frontend

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.

A183577 Half the number of nX2 0..3 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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%I A183577 #7 Jul 22 2025 09:06:11
%S A183577 2,14,78,407,2216,12024,65277,354615,1926386,10465655,56858572,
%T A183577 308906899,1678265791,9117888439,49536803509,269129777690,
%U A183577 1462162196206,7943819360442,43158185018445,234475238671702,1273886693818638
%N A183577 Half the number of nX2 0..3 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.
%C A183577 Column 2 of A183584
%H A183577 R. H. Hardin, <a href="/A183577/b183577.txt">Table of n, a(n) for n = 1..200</a>
%F A183577 Empirical: a(n)=7*a(n-1)-8*a(n-2)+4*a(n-3)-41*a(n-4)+20*a(n-5)-13*a(n-6)+130*a(n-7)+32*a(n-8)+94*a(n-9)-118*a(n-10)-88*a(n-11)-93*a(n-12)-a(n-13)+20*a(n-14)
%e A183577 Some solutions with a(1,1)<=1 for 3X2
%e A183577 ..0..0....1..3....1..1....0..2....0..0....1..1....1..0....0..0....1..1....0..0
%e A183577 ..0..0....1..3....2..1....0..2....3..0....2..0....1..0....0..0....0..0....2..2
%e A183577 ..0..0....1..1....2..2....0..2....3..0....2..0....1..0....1..1....2..2....0..0
%K A183577 nonn
%O A183577 1,1
%A A183577 _R. H. Hardin_ Jan 05 2011