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Number of lower triangles of a (2n+4)X(2n+4) 0..n array with new values introduced in row major order 0..n and no element unequal to more than one horizontal or vertical neighbor
0

%I #4 Mar 31 2012 12:36:22

%S 43,493,4069,30608,229869,1782111,14399939,121414559,1066897441,

%T 9753094999,92586232382,911156698994

%N Number of lower triangles of a (2n+4)X(2n+4) 0..n array with new values introduced in row major order 0..n and no element unequal to more than one horizontal or vertical neighbor

%C Row 6 of A194778

%e Some solutions for n=2 containing a 2

%e ..0................0................0................0

%e ..1.1..............0.0..............1.1..............0.0

%e ..1.1.1............0.0.0............1.1.1............0.0.0

%e ..1.1.1.1..........1.1.1.1..........2.2.2.2..........1.1.1.1

%e ..1.1.1.1.1........1.1.1.1.1........2.2.2.2.0........1.1.1.1.0

%e ..1.1.1.1.1.1......2.2.2.2.2.2......2.2.2.2.0.0......1.1.1.1.0.0

%e ..1.1.1.1.1.1.1....2.2.2.2.2.2.2....2.2.2.2.0.0.0....1.1.1.1.0.0.2

%e ..1.1.1.1.1.1.1.2..2.2.2.2.2.2.2.2..2.2.2.2.0.0.0.2..1.1.1.1.0.0.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 02 2011