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Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 02 2018 14:25:31

%S 1,3,11,56,289,1529,8152,43676,234707,1264018,6818793,36833925,

%T 199192142,1078202540,5840738361,31660718262,171717441011,

%U 931774434881,5057989479520,27465580937300,149183431937487,810502022734382

%N Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302150.

%H R. H. Hardin, <a href="/A302147/b302147.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -65*a(n-2) +88*a(n-3) +132*a(n-4) -362*a(n-5) -39*a(n-6) +438*a(n-7) -19*a(n-8) -208*a(n-9) -16*a(n-10) +26*a(n-11) +4*a(n-12)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302150.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 02 2018