A300179 - OEIS

%I #4 Feb 27 2018 12:30:31

%S 16,512,16208,513832,16288960,516368256,16369174784,518912313824,

%T 16449820393120,521468820137344,16530863182211264,524037923251710208,

%U 16612305236616613760,526619683480028961920,16694148528966490951424

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A300182.

%H R. H. Hardin, <a href="/A300179/b300179.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) +158*a(n-2) +696*a(n-3) +756*a(n-4) +236*a(n-5) -3520*a(n-6) -640*a(n-7) -1792*a(n-8) +4096*a(n-9)

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

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

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

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

%Y Cf. A300182.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2018