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A186591 Number of (n+3)X4 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock 1
4294967296, 48243, 430183, 3306753, 21993587, 53301263, 71095231, 78728809, 86748644, 89692007, 94541176, 120087461, 205742497, 372822912, 600755929, 913680450, 1430990335, 2201398558, 3168904216, 4468022885, 6637262756 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A186599

LINKS

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

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>30

EXAMPLE

Some solutions for 5X4

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

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

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

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

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

CROSSREFS

Sequence in context: A255344 A186590 A186599 * A281576 A288282 A210014

Adjacent sequences:  A186588 A186589 A186590 * A186592 A186593 A186594

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 24 2011

STATUS

approved

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Last modified May 28 00:30 EDT 2022. Contains 354110 sequences. (Running on oeis4.)