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A283545 Number of 4 X n 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1

%I #7 Feb 21 2019 09:13:50

%S 16,98,573,4089,25532,167920,1094959,7101809,46326550,301306398,

%T 1961384325,12768156061,83100368446,540929424728,3520893704293,

%U 22917627167529,149172500835242,970968632009710,6320086805449019

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

%H R. H. Hardin, <a href="/A283545/b283545.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 19*a(n-2) + 62*a(n-3) + 24*a(n-4) + 82*a(n-5) - 75*a(n-6) + 50*a(n-7) - 145*a(n-8).

%F Empirical g.f.: x*(16 + 66*x + 73*x^2 + 89*x^3 + 7*x^4 - 25*x^5 - 95*x^6 - 145*x^7) / (1 - 2*x - 19*x^2 - 62*x^3 - 24*x^4 - 82*x^5 + 75*x^6 - 50*x^7 + 145*x^8). - _Colin Barker_, Feb 21 2019

%e Some solutions for n=4:

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

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

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

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

%Y Row 4 of A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified June 16 08:45 EDT 2024. Contains 373424 sequences. (Running on oeis4.)