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A259421 Number of (n+1) X (2+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0001 0011 or 0111. 1

%I

%S 43,243,1366,7695,43347,244228,1376077,7753553,43687910,246163281,

%T 1387029593,7815349472,44036333771,248126951851,1398095180302,

%U 7877701886559,44387669863035,250106600625676,1409249728938893

%N Number of (n+1) X (2+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0001 0011 or 0111.

%H R. H. Hardin, <a href="/A259421/b259421.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) + 2*a(n-2) - 22*a(n-3) - 6*a(n-4) + 6*a(n-5) + a(n-6).

%F Empirical g.f.: x*(43 - 15*x - 178*x^2 - 41*x^3 + 49*x^4 + 8*x^5) / (1 - 6*x - 2*x^2 + 22*x^3 + 6*x^4 - 6*x^5 - x^6). - _Colin Barker_, Dec 25 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 2 of A259427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 26 2015

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Last modified May 28 03:28 EDT 2022. Contains 354110 sequences. (Running on oeis4.)