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Number of (1+2)X(n+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards
1

%I #5 Aug 11 2014 22:45:57

%S 205808,10268904,502595832,24576912260,1199897571228,58576345841356,

%T 2859193780644876,139560139052400248,6811998968783551560,

%U 332496786974014167368,16229306364406839778800,792159143550043088739188

%N Number of (1+2)X(n+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards

%C Row 1 of A234068

%H R. H. Hardin, <a href="/A234069/b234069.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234069/a234069.txt">Empirical recurrence of order 54</a>

%F Empirical recurrence of order 54 (see link above)

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013