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A269038 Number of 4Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. 1

%I #4 Feb 18 2016 09:02:07

%S 0,504,2136,18384,115656,785124,4998648,31834476,198736752,1231177296,

%T 7552688064,46020487500,278641166280,1678349335044,10062618187272,

%U 60089435895360,357550261665528,2120806295463156,12543856834626072

%N Number of 4Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

%C Row 4 of A269035.

%H R. H. Hardin, <a href="/A269038/b269038.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +23*a(n-2) -102*a(n-3) -288*a(n-4) +250*a(n-5) +787*a(n-6) -238*a(n-7) -741*a(n-8) +124*a(n-9) +196*a(n-10) -16*a(n-11) -16*a(n-12) for n>14

%e Some solutions for n=4

%e ..0..1..0..1. .2..2..2..1. .2..2..2..2. .1..0..0..2. .2..2..1..2

%e ..2..1..2..1. .2..2..2..2. .1..2..2..1. .1..0..1..0. .2..2..2..2

%e ..0..1..0..1. .2..1..2..1. .1..2..1..2. .0..0..1..0. .2..2..2..2

%e ..0..0..2..1. .0..2..2..1. .1..2..1..2. .1..0..1..0. .2..2..1..1

%Y Cf. A269035.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 18 2016

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Last modified August 25 09:27 EDT 2024. Contains 375425 sequences. (Running on oeis4.)