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A235951 Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. 1

%I

%S 7353,5034,2478,3496,5358,6728,9260,14016,20570,26912,36512,56064,

%T 82568,107648,146048,224256,330272,430592,584192,897024,1321088,

%U 1722368,2336768,3588096,5284352,6889472,9347072,14352384,21137408,27557888

%N Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.

%H R. H. Hardin, <a href="/A235951/b235951.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-4) for n>13.

%F Empirical g.f.: x*(7353 + 5034*x + 2478*x^2 + 3496*x^3 - 24054*x^4 - 13408*x^5 - 652*x^6 + 32*x^7 - 862*x^8 - 528*x^10 + 288*x^12) / ((1 - 2*x^2)*(1 + 2*x^2)). - _Colin Barker_, Oct 20 2018

%e Some solutions for n=5:

%e ..1..2..0..0..0..2....2..1..0..1..2..2....2..0..0..0..2..1....2..0..0..0..1..2

%e ..2..1..0..1..2..1....1..2..0..0..0..1....1..2..1..0..1..2....1..2..1..0..1..2

%e ..0..0..0..2..1..0....0..1..2..1..0..1....0..1..2..0..0..0....0..1..2..0..0..0

%e ..0..1..2..0..0..0....0..0..0..2..0..0....0..0..0..2..1..0....0..0..0..2..1..0

%e ..0..2..1..0..1..2....2..1..0..1..2..1....2..1..0..1..2..0....1..1..0..1..2..1

%e ..2..1..0..0..2..2....2..2..0..0..0..2....0..2..0..0..0..2....2..2..0..0..1..2

%Y Column 5 of A235954.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014

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Last modified May 22 16:57 EDT 2022. Contains 353957 sequences. (Running on oeis4.)