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A259994 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. 1

%I #8 Dec 27 2018 11:57:46

%S 48,99,284,641,1228,2943,7284,15683,34012,81017,186614,409327,928000,

%T 2153685,4861084,10890015,24884066,56836211,128191444,290174291,

%U 661545278,1501862093,3397770104,7714956093,17539682412,39769793417

%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101.

%H R. H. Hardin, <a href="/A259994/b259994.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: x*(48 + 51*x + 185*x^2 + 117*x^3 - 244*x^4 - 62*x^5 - 159*x^6) / ((1 - x)*(1 - 5*x^3 - 12*x^4 - 5*x^5 - 5*x^6)). - _Colin Barker_, Dec 27 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 1 of A260001.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2015

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Last modified April 17 20:47 EDT 2024. Contains 371767 sequences. (Running on oeis4.)