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A165383 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, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value 0

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

%S 241,5472,37784,174197,598332,1700146,4185118,9267244,18840617,

%T 35800784,64279915,110110272,181122449,287758922,443428845,665278308,

%U 974595065,1397742124

%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, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value

%e One solution for n=16

%e ...1.1.2.2.2.2..............................

%e .....1.1.2.2.2.2............................

%e .......1.1.1.1.2.2..........................

%e .........1.1.2.2.2.2........................

%e ...........1.1.1.1.2.2......................

%e .............1.2.1.1.2.2....................

%e ...............2.2.2.2.3.3..................

%e .................2.2.2.2.3.3................

%e ...................3.3.2.3.3.3..............

%e .....................3.3.3.4.4.4............

%e .......................3.3.4.4.4.4..........

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

%e ...........................3.3.4.4.4.4......

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

%e ...............................3.3.4.4.4.4..

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

%K nonn

%O 2,1

%A _R. H. Hardin_ Sep 17 2009

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)