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Number of 7Xn 0..3 arrays with rows unimodal and antidiagonals nondecreasing
1

%I #6 Aug 11 2014 22:45:51

%S 16384,16000000,1193130640,27957232796,357890479324,3202561268692,

%T 22835261226043,140870217477853,798868058955840,4366075666967023,

%U 23746055907139887,130168228650264603,715616641125345679

%N Number of 7Xn 0..3 arrays with rows unimodal and antidiagonals nondecreasing

%C Row 7 of A224204

%H R. H. Hardin, <a href="/A224209/b224209.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A224209/a224209.txt">Empirical polynomial of degree 42</a>

%F Empirical polynomial of degree 42 (see link above)

%e Some solutions for n=3

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

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

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

%e ..2..2..1....2..2..0....2..2..3....0..0..2....0..0..0....0..2..1....0..0..1

%e ..3..1..1....2..2..2....3..3..1....2..2..3....2..2..0....3..3..0....2..1..1

%e ..3..2..2....3..2..1....3..1..0....3..3..0....2..2..3....3..0..0....2..1..0

%e ..2..3..3....2..2..0....1..1..2....3..3..0....3..3..2....1..3..2....3..3..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013