A208563 - OEIS

A208563

Number of nX4 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors

14, 464, 16608, 600426, 21758476, 788922798, 28608436530, 1037446303548, 37621813069386, 1364314106628550, 49475379592575628, 1794171379245008334, 65063694331223004978, 2359464864203438340188, 85563454475454135771530

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A208567

LINKS

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

FORMULA

Empirical: a(n) = 61*a(n-1) -1124*a(n-2) +9139*a(n-3) -34187*a(n-4) +44684*a(n-5) +35628*a(n-6) -128720*a(n-7) +102352*a(n-8) -44832*a(n-9) +17472*a(n-10) for n>11

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A297548 A215787 A005790 * A200061 A171208 A331612

Adjacent sequences: A208560 A208561 A208562 * A208564 A208565 A208566

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 28 2012

STATUS

approved