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A283694 Number of 4Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 14 2017 16:19:07

%S 16,209,1525,15226,149840,1392868,13354587,127784543,1216273286,

%T 11610922077,110813421739,1057079938750,10086617186932,96243278074212,

%U 918282144099337,8761803692242639,83600613065810312,797670758534028855

%N Number of 4Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors.

%C Row 4 of A283691.

%H R. H. Hardin, <a href="/A283694/b283694.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +14*a(n-2) +82*a(n-3) -658*a(n-4) -777*a(n-5) +1355*a(n-6) +5352*a(n-7) +4750*a(n-8) -10369*a(n-9) -8528*a(n-10) -2002*a(n-11) +1904*a(n-12) +11841*a(n-13) -569*a(n-14) -451*a(n-15) +1759*a(n-16) -3860*a(n-17) -536*a(n-18) +645*a(n-19) +66*a(n-20) +111*a(n-21) -40*a(n-22) -4*a(n-23)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283691.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 14 2017

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)