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Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 27 2018 10:12:20

%S 5,50,278,1351,6501,31061,147954,705180,3364845,16066957,76746541,

%T 366661633,1751917453,8371075480,39999735173,191133225006,

%U 913306286525,4364124497569,20853452368747,99645765475503,476145569567504

%N Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301823.

%H R. H. Hardin, <a href="/A301821/b301821.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -130*a(n-2) +609*a(n-3) -1982*a(n-4) +4783*a(n-5) -8877*a(n-6) +12928*a(n-7) -14910*a(n-8) +13627*a(n-9) -9800*a(n-10) +5461*a(n-11) -2298*a(n-12) +701*a(n-13) -145*a(n-14) +18*a(n-15) -a(n-16) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2018