A305242 - OEIS

%I #4 May 28 2018 08:40:58

%S 16,64,86,273,1134,3288,11731,39986,136448,468584,1601600,5492380,

%T 18813625,64449531,220814816,756519295,2591868086,8879795487,

%U 30422648705,104229316206,357094000366,1223419607435,4191489089288,14360224506528

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A305245.

%H R. H. Hardin, <a href="/A305242/b305242.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +7*a(n-2) +10*a(n-3) -2*a(n-4) -37*a(n-5) -73*a(n-6) -32*a(n-7) +81*a(n-8) +136*a(n-9) +94*a(n-10) +80*a(n-11) +98*a(n-12) -79*a(n-13) -230*a(n-14) -294*a(n-15) -395*a(n-16) -145*a(n-17) +212*a(n-18) +255*a(n-19) +184*a(n-20) +258*a(n-21) +300*a(n-22) -22*a(n-23) -40*a(n-24) -148*a(n-25) -222*a(n-26) -4*a(n-27) -28*a(n-28) +14*a(n-29) +6*a(n-30) +24*a(n-31) +26*a(n-32) -6*a(n-33) -4*a(n-34) for n>42

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305245.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 28 2018