A235950 - OEIS

%I #8 Oct 20 2018 10:22:27

%S 2584,2660,1780,2356,3496,5036,7320,11908,17592,25318,36632,59508,

%T 87944,126588,183160,297540,439720,632940,915800,1487700,2198600,

%U 3164700,4579000,7438500,10993000,15823500,22895000,37192500,54965000,79117500

%N Number of (n+1) X (4+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.

%H R. H. Hardin, <a href="/A235950/b235950.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.: 2*x*(1292 + 1330*x + 890*x^2 + 1178*x^3 - 4712*x^4 - 4132*x^5 - 790*x^6 + 64*x^7 + 56*x^8 + 69*x^9 + 16*x^10 - 16*x^11 - 8*x^12 - x^13) / (1 - 5*x^4). - _Colin Barker_, Oct 20 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 4 of A235954.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014