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A205250 Number of (n+1) X 4 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock the same. 1

%I #8 Jun 11 2018 08:02:49

%S 112,752,5212,36304,253072,1764364,12301024,85762192,597930556,

%T 4168748272,29064349264,202635502636,1412766774400,9849754525648,

%U 68672102130652,478779201937552,3338029812632080,23272612897409356

%N Number of (n+1) X 4 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock the same.

%C Column 3 of A205255.

%H R. H. Hardin, <a href="/A205250/b205250.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) - 24*a(n-2) + 21*a(n-3) - 6*a(n-4).

%F Empirical g.f.: 4*x*(2 - 3*x)*(14 - 25*x + 10*x^2) / ((1 - x)*(1 - 9*x + 15*x^2 - 6*x^3)). - _Colin Barker_, Jun 11 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A205255.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 24 2012

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)