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A317739 Number of nX6 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 0,9,4,23,38,22,36,140,146,218,736,1072,1890,4505,8860,16665,36236,

%T 77955,157132,339776,741215,1574853,3425156,7498971,16329476,35728895,

%U 78504972,172477510,378971254,834963467,1839342289,4053198576,8939535791

%N Number of nX6 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A317741.

%H R. H. Hardin, <a href="/A317739/b317739.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +13*a(n-3) -2*a(n-4) -38*a(n-5) -72*a(n-6) +24*a(n-7) +141*a(n-8) +183*a(n-9) -123*a(n-10) -228*a(n-11) -227*a(n-12) +266*a(n-13) -162*a(n-14) +273*a(n-15) -65*a(n-16) +2154*a(n-17) -411*a(n-18) +1075*a(n-19) -5504*a(n-20) +1745*a(n-21) -7708*a(n-22) +5966*a(n-23) -10880*a(n-24) +15631*a(n-25) -7395*a(n-26) +25649*a(n-27) -17569*a(n-28) +18793*a(n-29) -29769*a(n-30) +18327*a(n-31) -32563*a(n-32) +20822*a(n-33) -20922*a(n-34) +34936*a(n-35) -10939*a(n-36) +20583*a(n-37) -25081*a(n-38) +6260*a(n-39) -15245*a(n-40) +12332*a(n-41) -4808*a(n-42) +7884*a(n-43) -4354*a(n-44) +3120*a(n-45) -2603*a(n-46) +1249*a(n-47) -1135*a(n-48) +491*a(n-49) -281*a(n-50) +187*a(n-51) -45*a(n-52) +32*a(n-53) -10*a(n-54) +a(n-55) -a(n-56) for n>63

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317741.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 05 2018

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Last modified May 26 21:56 EDT 2022. Contains 354092 sequences. (Running on oeis4.)