A316612 - OEIS

%I #4 Jul 08 2018 16:14:19

%S 8,53,63,199,649,1749,4719,13770,38535,106694,302759,853104,2385813,

%T 6717043,18917295,53110690,149304292,420051407,1180658209,3318836197,

%U 9332768412,26238657260,73763895813,207396353458,583103500176

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A316615.

%H R. H. Hardin, <a href="/A316612/b316612.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +10*a(n-3) -6*a(n-4) -4*a(n-5) -13*a(n-6) -14*a(n-7) -27*a(n-8) -13*a(n-9) +38*a(n-10) +45*a(n-11) +16*a(n-12) +69*a(n-13) +95*a(n-14) +29*a(n-15) -73*a(n-16) -2*a(n-17) +66*a(n-18) -94*a(n-19) -279*a(n-20) -62*a(n-21) -179*a(n-22) -288*a(n-23) -214*a(n-24) +234*a(n-25) +437*a(n-26) +118*a(n-27) -213*a(n-28) +249*a(n-29) +355*a(n-30) +133*a(n-31) -60*a(n-32) -227*a(n-33) -5*a(n-34) +52*a(n-35) +16*a(n-36) +8*a(n-37) -8*a(n-38) -4*a(n-39) -4*a(n-40) for n>51

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316615.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 08 2018