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A303318 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 32,14,34,165,349,1221,7096,30280,102683,403872,1783894,7248640,

%T 27856927,111871711,461547267,1859721535,7397094062,29793428041,

%U 120739708314,486065859963,1951092593903,7859276232228,31701254570200,127635189909079

%N Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 6 of A303314.

%H R. H. Hardin, <a href="/A303318/b303318.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +18*a(n-3) +87*a(n-4) +23*a(n-5) -149*a(n-6) -305*a(n-7) -678*a(n-8) -45*a(n-9) +981*a(n-10) +937*a(n-11) +1834*a(n-12) +317*a(n-13) -1968*a(n-14) -1457*a(n-15) -2157*a(n-16) -964*a(n-17) +830*a(n-18) +254*a(n-19) +161*a(n-20) +152*a(n-21) -15*a(n-22) -3*a(n-23) for n>28

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)