A317380 - OEIS

%I #4 Jul 26 2018 17:00:06

%S 16,22,94,414,2089,10732,52617,260141,1299431,6460703,32091533,

%T 159653013,794100334,3948657705,19637348938,97662825394,485690250511,

%U 2415410808380,12012299336878,59739289031338,297093716824774,1477499432149988

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A317383.

%H R. H. Hardin, <a href="/A317380/b317380.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) +23*a(n-3) -48*a(n-4) -204*a(n-5) -290*a(n-6) +464*a(n-7) +1533*a(n-8) +1060*a(n-9) -1347*a(n-10) -4626*a(n-11) -3969*a(n-12) +3088*a(n-13) +10127*a(n-14) +6880*a(n-15) -4168*a(n-16) -15090*a(n-17) -15701*a(n-18) +4865*a(n-19) +20064*a(n-20) +13812*a(n-21) +4246*a(n-22) -14553*a(n-23) -18731*a(n-24) +1072*a(n-25) +9636*a(n-26) +13390*a(n-27) +8382*a(n-28) -7240*a(n-29) -9992*a(n-30) -7983*a(n-31) -3164*a(n-32) +3036*a(n-33) +3341*a(n-34) +2439*a(n-35) +960*a(n-36) -366*a(n-37) -348*a(n-38) -227*a(n-39) -113*a(n-40) +21*a(n-41) -12*a(n-42) -12*a(n-43) for n>49

%e Some solutions for n=5

%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

%e ..0..0..1..0..1. .0..0..0..0..0. .0..1..0..0..0. .0..0..0..0..1

%e ..0..0..0..0..0. .1..1..0..0..1. .0..0..0..0..0. .0..0..1..0..0

%e ..0..0..0..0..0. .1..1..0..0..0. .0..0..1..0..1. .0..0..0..0..0

%e ..0..1..0..1..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..1..0

%Y Cf. A317383.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2018