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Number of slanted nX8 (i=1..n)X(j=i..8+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner
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%I #3 Mar 31 2012 12:35:35

%S 869,82224,3017385,74493401,1484483677,25614600093,397609974217,

%T 5695358682045

%N Number of slanted nX8 (i=1..n)X(j=i..8+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner

%e One solution for n=8

%e ...1.1.2.2.2.2.2.2..............

%e .....1.1.2.2.2.2.2.2............

%e .......1.1.2.2.3.3.2.2..........

%e .........1.2.3.3.3.3.2.2........

%e ...........3.3.3.3.3.3.3.4......

%e .............3.3.3.3.3.4.4.4....

%e ...............3.3.3.4.4.4.4.4..

%e .................3.3.3.3.3.3.4.4

%K nonn

%O 2,1

%A _R. H. Hardin_ Sep 17 2009