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A237317 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1
81, 348, 1508, 6608, 28772, 123888, 536848, 2352448, 10242832, 44104128, 191117888, 837471488, 3646448192, 15701069568, 68037968128, 298139849728, 1298135556352, 5589580766208, 24221516653568, 106137786503168 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 356*a(n-4) for n>5.

Empirical g.f.: x*(81 + 348*x + 1508*x^2 + 6608*x^3 - 64*x^4) / (1 - 356*x^4). - Colin Barker, Oct 22 2018

EXAMPLE

Some solutions for n=5:

..1..0....1..1....2..2....1..1....0..0....2..1....0..0....2..2....1..1....1..0

..1..2....0..0....0..2....0..2....1..2....2..2....1..2....1..0....0..1....2..0

..0..0....1..2....0..1....1..2....0..1....2..0....1..0....1..2....2..1....2..2

..2..2....0..1....1..2....1..0....0..2....0..1....0..0....1..1....1..1....2..1

..1..0....2..2....1..1....0..2....1..1....1..2....0..2....2..2....0..2....1..0

..1..0....2..0....1..1....2..2....2..1....0..0....1..2....2..1....2..1....2..2

CROSSREFS

Column 1 of A237324.

Sequence in context: A236730 A237324 A237730 * A237723 A237472 A237465

Adjacent sequences:  A237314 A237315 A237316 * A237318 A237319 A237320

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 06 2014

STATUS

approved

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Last modified July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)