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%I #4 Jan 12 2018 09:47:41
%S 0,3,0,7,5,70,134,941,3028,15282,61027,280811,1187923,5303521,
%T 22943452,101114860,441038127,1935534442,8463178648,37089811087,
%U 162324439320,710991188343,3112728941836,13631342586150,59684847239430
%N Number of nX5 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 5 of A298100.
%H R. H. Hardin, <a href="/A298097/b298097.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +17*a(n-2) +16*a(n-3) -50*a(n-4) -246*a(n-5) -268*a(n-6) +313*a(n-7) +629*a(n-8) +3404*a(n-9) +2938*a(n-10) -3210*a(n-11) -434*a(n-12) -26272*a(n-13) -769*a(n-14) -9693*a(n-15) -33647*a(n-16) +71853*a(n-17) +37353*a(n-18) +78301*a(n-19) -77139*a(n-20) -120183*a(n-21) -123476*a(n-22) +342637*a(n-23) -157961*a(n-24) +178152*a(n-25) +649478*a(n-26) -57670*a(n-27) -307392*a(n-28) -938601*a(n-29) -74393*a(n-30) -555358*a(n-31) +821856*a(n-32) +1092796*a(n-33) +385401*a(n-34) -201164*a(n-35) -1221893*a(n-36) -83363*a(n-37) -563980*a(n-38) +8475*a(n-39) +22115*a(n-40) +1545726*a(n-41) +649244*a(n-42) -1226558*a(n-43) -565118*a(n-44) +4451*a(n-45) +365807*a(n-46) +110499*a(n-47) +126043*a(n-48) -17620*a(n-49) -148083*a(n-50) -20529*a(n-51) -8576*a(n-52) +22043*a(n-53) +20292*a(n-54) +3275*a(n-55) -429*a(n-56) -1473*a(n-57) -1377*a(n-58) -989*a(n-59) -202*a(n-60) -128*a(n-61)
%e Some solutions for n=7
%e ..0..0..0..1..1. .0..0..0..1..1. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..0..1..1. .0..0..0..1..1. .0..0..1..0..0. .0..0..1..0..0
%e ..1..1..0..1..1. .1..1..0..0..1. .0..1..1..1..0. .0..1..1..1..0
%e ..1..1..0..0..0. .1..1..0..1..1. .0..0..1..0..0. .0..0..1..0..0
%e ..0..0..0..0..0. .1..1..0..0..1. .0..1..1..0..0. .0..1..1..1..0
%e ..0..0..1..1..1. .0..0..0..1..1. .0..0..1..1..1. .0..0..1..0..0
%e ..0..0..1..1..1. .0..0..0..1..1. .0..0..1..1..1. .0..0..0..0..0
%Y Cf. A298100.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 12 2018
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