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Number of (n+1)X(6+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors
1

%I #5 Aug 11 2014 22:46:10

%S 37,943,15038,213165,3255233,51576880,810629762,12628484789,

%T 196722783963,3069861742669,47921427777122,747854077910206,

%U 11669485995442328,182096431162356362,2841608628852473485,44343154272596631331

%N Number of (n+1)X(6+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors

%C Column 6 of A237859

%H R. H. Hardin, <a href="/A237857/b237857.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A237857/a237857.txt">Empirical recurrence of order 98</a>

%F Empirical recurrence of order 98 (see link above)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2014