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Number of 6Xn 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing
1

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

%S 4096,1600000,37128051,356222482,2425304290,14587480744,86539248276,

%T 519675953580,3101250505830,17906548084860,98091759991859,

%U 504379639489778,2424565118584031,10897029351109181,45902682124075154

%N Number of 6Xn 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

%C Row 6 of A224281

%H R. H. Hardin, <a href="/A224285/b224285.txt">Table of n, a(n) for n = 1..102</a>

%H R. H. Hardin, <a href="/A224285/a224285.txt">Empirical polynomial of degree 36</a>

%F Empirical polynomial of degree 36 (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 ..2..0..0....0..0..3....0..0..1....0..0..0....1..2..1....0..0..0....2..2..1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 02 2013