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A283411 Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors. 1

%I #4 Mar 07 2017 10:46:25

%S 16,236,2944,39268,519252,6865368,90803472,1200890168,15882218184,

%T 210047690772,2777952473964,36739369719812,485890702739492,

%U 6426070385501460,84986974086126936,1123981738831575460

%N Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors.

%C Column 4 of A283415.

%H R. H. Hardin, <a href="/A283411/b283411.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +58*a(n-2) +137*a(n-3) +127*a(n-4) +60*a(n-5) -128*a(n-6) +83*a(n-7) -150*a(n-8) +97*a(n-9) -59*a(n-10) +32*a(n-11) -9*a(n-12) +a(n-13) for n>15

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283415.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2017

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)