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%I #4 Dec 14 2013 06:16:42
%S 15272,341849,342185,7655432,20463326,7610545,171455430,1228836823,
%T 1210323458,169129037,3839022704,73856970690,193816724926,71466955645,
%U 3756984641,85958825311,4437742405449,31089670720384,30486088122553
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards
%C Table starts
%C .........15272............341849...............7655432................171455430
%C ........342185..........20463326............1228836823..............73856970690
%C .......7610545........1210323458..........193816724926...........31089670720384
%C .....169129037.......71466955645........30486088122553........13036676136198570
%C ....3756984641.....4216843315070......4789333815748164......5457144376641532163
%C ...83451469774...248776920079071....752211767721347638...2283486525774040837846
%C .1853608731449.14676155317362609.118131715113190354345.955374780755516442029392
%H R. H. Hardin, <a href="/A233602/b233602.txt">Table of n, a(n) for n = 1..143</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 23]
%F Empirical for row n:
%F n=1: [linear recurrence of order 23]
%F n=2: [order 61] for n>62
%e Some solutions for n=1 k=4
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..0..0..2..2..0..2....1..2..2..0..2..0....0..2..0..2..2..2....1..0..0..0..0..0
%e ..0..1..1..2..2..2....1..1..0..0..0..1....1..0..0..1..1..1....1..2..0..1..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 14 2013
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