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Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 11 2018 12:31:23

%S 32,14,18,64,125,453,2013,6725,21745,80985,295335,1015113,3570091,

%T 12835677,45416833,159687591,566457119,2010993911,7108904181,

%U 25146289499,89111146015,315554058131,1116679458873,3953641136991,14000618548225

%N Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 6 of A302680.

%H R. H. Hardin, <a href="/A302684/b302684.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +18*a(n-3) +31*a(n-4) -4*a(n-5) -56*a(n-6) -58*a(n-7) -38*a(n-8) +52*a(n-9) +7*a(n-10) -47*a(n-11) +10*a(n-12) +a(n-13) -32*a(n-14) +12*a(n-15) +2*a(n-16) +8*a(n-17) for n>23

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A302680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2018