

A237377


Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.


1



81, 344, 1472, 6368, 27280, 115584, 494592, 2139648, 9166080, 38836224, 166182912, 718921728, 3079802880, 13048971264, 55837458432, 241557700608, 1034813767680, 4384454344704, 18761386033152, 81163387404288, 347697425940480
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OFFSET

1,1


LINKS

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


FORMULA

Empirical: a(n) = 336*a(n4) for n>5.
Empirical g.f.: x*(81 + 344*x + 1472*x^2 + 6368*x^3 + 64*x^4) / (1  336*x^4).  Colin Barker, Oct 22 2018


EXAMPLE

Some solutions for n=5:
..1..2....1..2....1..2....2..0....1..1....1..0....0..2....2..2....2..2....2..0
..1..2....2..0....1..2....1..1....0..0....0..1....1..0....0..0....2..1....1..0
..1..1....2..2....2..0....0..1....1..2....1..1....0..1....1..0....1..2....2..1
..2..2....0..1....1..1....0..1....0..1....0..2....0..2....1..2....2..0....0..0
..2..1....1..2....0..1....0..2....2..0....1..0....2..0....1..1....1..1....0..0
..2..1....0..0....1..2....2..0....1..1....1..0....1..0....2..0....0..1....0..1


CROSSREFS

Column 1 of A237384.
Sequence in context: A237384 A237249 A236096 * A237242 A236089 A236737
Adjacent sequences: A237374 A237375 A237376 * A237378 A237379 A237380


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 07 2014


STATUS

approved



