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A186595 Number of (n+3) X 8 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. 1
21993587, 444066, 1398069, 5080629, 11494293, 12478581, 12563805, 12653493, 12809421, 13255797, 15722997, 19992861, 36147621, 56126589, 101158704, 151867875, 238699518, 338342913, 520547349, 732592545, 1101469437, 1568718489 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A186599.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..44

FORMULA

Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>15.

EXAMPLE

Some solutions for 5 X 8:

..2..0..0..0..0..2..3..3....0..0..0..0..0..0..0..2....1..0..0..0..0..0..0..3

..0..0..0..0..0..0..0..2....0..0..0..0..0..0..0..3....0..0..0..0..0..0..0..0

..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..3

..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0

..0..0..0..0..0..0..0..0....0..0..2..0..0..0..0..0....0..2..3..0..0..0..0..0

CROSSREFS

Sequence in context: A251998 A210389 A118860 * A210076 A184375 A183799

Adjacent sequences:  A186592 A186593 A186594 * A186596 A186597 A186598

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 24 2011

STATUS

approved

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Last modified May 20 11:16 EDT 2022. Contains 353871 sequences. (Running on oeis4.)