%I #4 Dec 14 2013 06:54:24
%S 209902869,113340508656,61016076689221,32842430056859347,
%T 17677276204893657068,9514684332344605845443,
%U 5121219107749974037717423,2756463962347101720291183163,1483649383798119146425234955658
%N Number of (n+2)X(4+2) 0..2 arrays with no increasing sequence of length 3 horizontally or diagonally downwards
%C Column 4 of A233618
%H R. H. Hardin, <a href="/A233614/b233614.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 622*a(n-1) -39795*a(n-2) -3392150*a(n-3) +287878371*a(n-4) +4734586660*a(n-5) -686496169944*a(n-6) +2628072773549*a(n-7) +679664935218936*a(n-8) -9811157788476332*a(n-9) -274483417150466312*a(n-10) +8461199267048135392*a(n-11) -67605600824028668292*a(n-12) -112501874929956656208*a(n-13) +3608503022809018266176*a(n-14) -6408853431073275124992*a(n-15) -68918931430313108133888*a(n-16) +197698982281577284018176*a(n-17) +590643835263916265521152*a(n-18) -2141554124843579906260992*a(n-19) -1963372016123628796772352*a(n-20) +9675092882261555486392320*a(n-21) -44500532381112323801088*a(n-22) -13282259941086852475256832*a(n-23) +3042930932911662019117056*a(n-24) +5604178376459742735237120*a(n-25) -1572081206902992767287296*a(n-26)
%e Some solutions for n=1
%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..2..2....0..2..1..1..2..0....0..2..0..2..0..0....0..2..0..0..0..2
%e ..0..1..1..0..2..0....0..0..2..0..1..0....1..1..1..1..0..0....2..0..2..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2013