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Number of slanted nX6 (i=1..n)X(j=i..6+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
1

%I #4 Mar 31 2012 12:35:35

%S 241,6868,85841,755947,5386897,33107075,182659489,930494139,

%T 4463499425,20442622131,90281206769,387257313995,1622131788337,

%U 6662496415651,26917106044481,107236122222363,422120504603969,1644409064133971

%N Number of slanted nX6 (i=1..n)X(j=i..6+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

%H R. H. Hardin, <a href="/A165375/b165375.txt">Table of n, a(n) for n=2..22</a>

%e One solution for n=19

%e ...1.2.2.2.2.2....................................

%e .....2.2.2.2.2.2..................................

%e .......2.2.2.2.2.2................................

%e .........2.2.2.2.2.2..............................

%e ...........2.2.2.2.2.2............................

%e .............2.2.2.2.2.2..........................

%e ...............2.2.2.2.2.2........................

%e .................2.2.2.2.2.2......................

%e ...................2.2.2.2.2.3....................

%e .....................2.2.2.3.3.3..................

%e .......................2.3.3.3.3.3................

%e .........................3.3.3.3.4.4..............

%e ...........................3.3.3.3.4.4............

%e .............................3.3.3.3.4.4..........

%e ...............................3.3.3.3.4.4........

%e .................................3.3.3.3.4.4......

%e ...................................3.3.3.3.4.4....

%e .....................................3.3.3.3.4.4..

%e .......................................3.3.3.3.4.4

%K nonn

%O 2,1

%A _R. H. Hardin_ Sep 17 2009