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A283538 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1

%I #6 Mar 11 2017 16:26:34

%S 7,27,127,573,2615,11903,54211,246869,1124239,5119755,23315255,

%T 106177157,483528423,2201977727,10027757771,45666186717,207962802543,

%U 947057995307,4312881128207,19640765104365,89443609136599,407324214350687

%N Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%C Column 3 of A283543.

%H R. H. Hardin, <a href="/A283538/b283538.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -a(n-2) -7*a(n-3) +10*a(n-4) +4*a(n-5) -8*a(n-6).

%F Empirical: G.f.: -x*(x-1)*(8*x^4 +12*x^3 -2*x^2 -x+7) /(1 -5*x +x^2 +7*x^3 -10*x^4 -4*x^5 +8*x^6) . - _R. J. Mathar_, Mar 11 2017

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified June 15 03:12 EDT 2024. Contains 373402 sequences. (Running on oeis4.)