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A297547 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. 1

%I

%S 1,7,88,275,1233,10234,65363,355573,2194764,14070932,85652323,

%T 519260961,3211470573,19819925799,121490746063,746218947635,

%U 4593161224590,28240298397593,173532774710365,1066882947565281,6559955677759270

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s.

%C Row 4 of A297544.

%H R. H. Hardin, <a href="/A297547/b297547.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) +44*a(n-3) -8*a(n-4) -760*a(n-5) +184*a(n-6) +754*a(n-7) -472*a(n-8) +9851*a(n-9) -3362*a(n-10) -5462*a(n-11) +15065*a(n-12) -44830*a(n-13) +67977*a(n-14) +31770*a(n-15) -136673*a(n-16) +48047*a(n-17) +136434*a(n-18) -8657*a(n-19) -324506*a(n-20) -148114*a(n-21) +447636*a(n-22) +20461*a(n-23) -583095*a(n-24) +51345*a(n-25) +442917*a(n-26) +278081*a(n-27) -330620*a(n-28) -659693*a(n-29) +540813*a(n-30) +547243*a(n-31) -369875*a(n-32) -109458*a(n-33) +121844*a(n-34) -54623*a(n-35) -24091*a(n-36) +22529*a(n-37) -4106*a(n-38) -6008*a(n-39) -768*a(n-40)

%e Some solutions for n=5

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

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

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

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

%Y Cf. A297544.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 31 2017

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Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)