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A237243 Number of (n+1) X (2+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1
344, 2064, 12600, 78420, 477144, 2908188, 17766000, 110572200, 672773040, 4100545080, 25050060000, 155906802000, 948609986400, 5781768562800, 35320584600000, 219828590820000, 1337540080824000, 8152293673548000 (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) = 1410*a(n-4) for n>6.

Empirical g.f.: 4*x*(86 + 516*x + 3150*x^2 + 19605*x^3 - 1974*x^4 - 513*x^5) / (1 - 1410*x^4). - Colin Barker, Oct 22 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 2 of A237249.

Sequence in context: A085336 A236090 A237378 * A183680 A183674 A245994

Adjacent sequences:  A237240 A237241 A237242 * A237244 A237245 A237246

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 05 2014

STATUS

approved

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Last modified January 18 20:06 EST 2022. Contains 350455 sequences. (Running on oeis4.)