A235905 Number of (n+1) X (2+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2 X 2 subblock.

260, 2618, 26408, 267548, 2707568, 27447272, 278028320, 2818432496, 28558894016, 289486933664, 2933725360256, 29736111094208, 301369493643008, 3054575081277056, 30958314481459712, 313777505508028160

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) + 58*a(n-2) - 368*a(n-3) - 24*a(n-4) + 192*a(n-5).

Empirical g.f.: 2*x*(130 + 269*x - 4808*x^2 + 60*x^3 + 2592*x^4) / (1 - 8*x - 58*x^2 + 368*x^3 + 24*x^4 - 192*x^5). - Colin Barker, Oct 20 2018

Example

Some solutions for n=3:
..1..1..2....2..1..1....1..2..0....2..2..1....0..2..2....1..2..2....0..2..2
..1..0..0....2..0..1....2..0..0....1..2..2....0..0..2....0..2..0....1..0..1
..0..0..2....1..2..2....1..0..1....2..0..2....0..2..1....2..2..2....2..0..2
..1..0..0....0..0..2....2..2..2....2..2..2....0..0..2....2..1..2....1..0..0

Crossrefs

Column 2 of A235911.

Sequence in context: A290040 A061224 A108109 * A287923 A238029 A264254

Adjacent sequences: A235902 A235903 A235904 * A235906 A235907 A235908

Keyword

nonn

Author

R. H. Hardin, Jan 16 2014

Status

approved