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A269077 Number of 3 X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once. 1

%I #7 Jan 18 2019 14:38:58

%S 8,32,123,521,1887,7477,27042,102070,368391,1351259,4850557,17489481,

%T 62373468,222422348,788291635,2789267661,9831173339,34583332541,

%U 121320954422,424799241314,1484281289599,5177412026719,18028809567225

%N Number of 3 X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

%H R. H. Hardin, <a href="/A269077/b269077.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) + 8*a(n-2) - 34*a(n-3) - 16*a(n-4) + 60*a(n-5) - 25*a(n-6).

%F Empirical g.f.: x*(8 - 69*x^2 + 45*x^3 + 35*x^4 - 25*x^5) / (1 - 2*x - 6*x^2 + 5*x^3)^2. - _Colin Barker_, Jan 18 2019

%e Some solutions for n=4:

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

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

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

%Y Row 3 of A269075.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2016

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Last modified April 16 17:36 EDT 2024. Contains 371749 sequences. (Running on oeis4.)