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Number of (n+1)X(3+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
1

%I #5 Aug 11 2014 22:46:11

%S 98,514,9604,130890,1876940,26726740,381984614,5442841504,77654661978,

%T 1107987680604,15802237635146,225425167338190,3215775310811444,

%U 45870835552152286,654345984389717822,9334191267457643510

%N Number of (n+1)X(3+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors

%C Column 3 of A239178

%H R. H. Hardin, <a href="/A239173/b239173.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A239173/a239173.txt">Empirical recurrence of order 67</a>

%F Empirical recurrence of order 67 (see link above)

%e Some solutions for n=4

%e ..2..2..2..2....1..1..1..1....1..1..1..0....0..1..1..0....0..2..2..1

%e ..0..1..1..0....2..2..2..0....0..0..2..2....2..2..2..2....1..1..1..0

%e ..1..1..0..0....1..2..2..0....2..2..2..0....1..1..1..0....0..2..2..1

%e ..0..0..2..2....0..0..1..1....2..2..1..1....1..2..2..2....2..2..1..0

%e ..2..2..1..1....1..1..0..0....0..0..0..0....0..1..1..0....0..0..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 11 2014