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Number of lower triangles of a (2n+3)X(2n+3) 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 23,219,1641,11686,84727,639325,5044981,41614291,358184223,3210665949,

%T 29914282858,289187619416

%N Number of lower triangles of a (2n+3)X(2n+3) 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 5 of A194778

%e Some solutions for n=2 containing a 2

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

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

%e ..1.1.2..........1.1.1..........1.1.1..........0.0.0..........1.1.1

%e ..1.1.2.2........1.1.1.1........1.1.1.1........0.0.0.0........2.2.2.2

%e ..1.1.2.2.2......1.1.1.1.1......1.1.1.1.1......0.0.0.0.1......2.2.2.2.1

%e ..1.1.2.2.2.2....2.2.2.2.2.2....2.2.2.2.2.2....0.0.0.0.1.1....2.2.2.2.1.1

%e ..1.1.2.2.2.2.2..2.2.2.2.2.2.2..2.2.2.2.2.2.1..0.0.0.0.1.1.2..2.2.2.2.1.1.0

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 02 2011