A197436 - OEIS

A197436

Number of nX2 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors

6, 34, 246, 1736, 12450, 89528, 644328, 4638654, 33398106, 240473126, 1731475912, 12467176650, 89767756044, 646357555524, 4653989082594, 33510269018262, 241285084850682, 1737332890742456, 12509374882010702, 90071661504230880

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OFFSET

1,1

COMMENTS

Column 2 of A197442

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 7*a(n-1) +6*a(n-2) -25*a(n-3) -57*a(n-4) -7*a(n-5) +78*a(n-6) +71*a(n-7) +6*a(n-8) -18*a(n-9) -10*a(n-10) -8*a(n-11)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A370324 A230331 A267242 * A334787 A302148 A218685

Adjacent sequences: A197433 A197434 A197435 * A197437 A197438 A197439

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 15 2011

STATUS

approved