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%I #5 Mar 31 2012 12:36:22
%S 0,1,0,1,0,0,1,4,0,0,1,9,12,0,0,1,10,252,32,0,0,1,10,942,11160,80,0,0,
%T 1,10,1530,267856,779544,192,0,0,1,10,1719,1587724,187321720,86082552,
%U 448,0,0,1,10,1743,4018152,6012771932,320268943536,15042748752,1024,0,0,1,10
%N T(n,k)=Number of lower triangles of an (n+1)X(n+1) 0..k array with new values introduced in row major order 0..k and no element equal to any horizontal, diagonal, antidiagonal or vertical neighbor
%C Table starts
%C .0.1....1.............1....................1........................1
%C .0.0....4.............9...................10.......................10
%C .0.0...12...........252..................942.....................1530
%C .0.0...32.........11160...............267856..................1587724
%C .0.0...80........779544............187321720...............6012771932
%C .0.0..192......86082552.........320268943536...........76835222989340
%C .0.0..448...15042748752.....1338718951693520......3302081001560127592
%C .0.0.1024.4162973481720.13681233554467188752.477232970093526846547868
%H R. H. Hardin, <a href="/A194794/b194794.txt">Table of n, a(n) for n = 1..165</a>
%e Some solutions for n=3 k=3
%e ..0........0........0........0........0........0........0........0
%e ..1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2
%e ..3.0.1....3.0.3....3.0.3....0.3.0....3.0.1....3.0.3....0.3.0....0.3.0
%e ..1.2.3.0..2.1.2.1..2.1.2.0..2.1.2.3..1.2.3.2..1.2.1.0..2.1.2.1..1.2.1.2
%Y Column 3 is A001787
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_ Sep 03 2011
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