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A235952 Number of (n+1) X (6+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. 1

%I #8 Oct 20 2018 10:05:20

%S 20800,9752,3504,5036,6728,10420,14440,23148,33704,52348,72200,116316,

%T 168520,261612,361000,581580,842600,1308060,1805000,2907900,4213000,

%U 6540300,9025000,14539500,21065000,32701500,45125000,72697500,105325000

%N Number of (n+1) X (6+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.

%H R. H. Hardin, <a href="/A235952/b235952.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-4) for n>14.

%F Empirical g.f.: 4*x*(5200 + 2438*x + 876*x^2 + 1259*x^3 - 24318*x^4 - 9585*x^5 - 770*x^6 - 508*x^7 + 16*x^8 + 62*x^9 + 144*x^11 - 32*x^13) / (1 - 5*x^4). - _Colin Barker_, Oct 20 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 6 of A235954.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014

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Last modified July 25 09:15 EDT 2024. Contains 374587 sequences. (Running on oeis4.)