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%I #4 Jan 28 2018 09:19:21
%S 0,3,3,10,32,120,471,2070,9055,39809,178728,805614,3628936,16427863,
%T 74247523,336094409,1520856812,6885288837,31164948670,141091227797,
%U 638704784849,2891500909471,13090012145416,59260093885255
%N Number of nX5 0..1 arrays with every element equal to 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 5 of A298902.
%H R. H. Hardin, <a href="/A298899/b298899.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) -10*a(n-3) -74*a(n-4) -174*a(n-5) +92*a(n-6) +550*a(n-7) +284*a(n-8) +2822*a(n-9) +387*a(n-10) -4568*a(n-11) +667*a(n-12) -34031*a(n-13) +14309*a(n-14) -20283*a(n-15) -15631*a(n-16) +126141*a(n-17) -18534*a(n-18) +138037*a(n-19) -92804*a(n-20) -62863*a(n-21) -145683*a(n-22) +145669*a(n-23) -252735*a(n-24) +856599*a(n-25) +603305*a(n-26) -951928*a(n-27) +40836*a(n-28) -1648325*a(n-29) +67746*a(n-30) -2832702*a(n-31) +2920682*a(n-32) +2347923*a(n-33) +2455740*a(n-34) -529807*a(n-35) -3152693*a(n-36) -1484407*a(n-37) -780449*a(n-38) -47439*a(n-39) -945802*a(n-40) +5691923*a(n-41) +2876338*a(n-42) -4570720*a(n-43) -3088139*a(n-44) +889471*a(n-45) +1193058*a(n-46) +289889*a(n-47) +642191*a(n-48) -399302*a(n-49) -564706*a(n-50) +60480*a(n-51) +33698*a(n-52) +64879*a(n-53) +81675*a(n-54) -1730*a(n-55) -6011*a(n-56) -1096*a(n-57) -7487*a(n-58) -2317*a(n-59) -530*a(n-60) -144*a(n-61)
%e Some solutions for n=5
%e ..0..0..0..1..1. .0..0..0..1..1. .0..0..1..1..1. .0..0..1..1..1
%e ..0..0..0..1..1. .0..0..0..1..1. .0..0..1..1..1. .0..0..1..1..1
%e ..0..0..0..0..1. .0..0..0..0..1. .0..0..1..1..1. .0..0..1..1..1
%e ..0..0..0..1..1. .1..1..0..1..1. .1..1..0..0..0. .0..0..1..1..1
%e ..0..0..0..1..1. .1..1..1..1..1. .1..1..0..0..0. .0..0..1..1..1
%Y Cf. A298902.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 28 2018
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