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Number of slanted nX7 (i=1..n)X(j=i..7+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
0

%I #3 Mar 31 2012 12:35:35

%S 481,25036,534816,7834644,92769304,948440084,8713467416,73822043172,

%T 587308411992,4445619331604,32329914519032

%N Number of slanted nX7 (i=1..n)X(j=i..7+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=9

%e ...1.2.2.2.2.2.2................

%e .....2.2.2.2.2.2.2..............

%e .......2.2.2.2.2.2.3............

%e .........2.2.2.2.3.3.3..........

%e ...........2.2.3.3.3.3.3........

%e .............3.3.3.3.3.3.4......

%e ...............3.3.3.3.4.4.4....

%e .................3.3.4.4.4.4.4..

%e ...................3.4.4.4.4.4.4

%K nonn

%O 2,1

%A _R. H. Hardin_ Sep 17 2009