

A206146


Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases.


1



486, 5118, 54450, 580986, 6204438, 66274542, 707982258, 7563227466, 80796885414, 863143206558, 9220857727842, 98505357616986, 1052321399885238, 11241828565189710, 120095162925973650, 1282962828563896554
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OFFSET

1,1


COMMENTS

Column 4 of A206150.


LINKS

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


FORMULA

Empirical: a(n) = 16*a(n1)  65*a(n2) + 92*a(n3)  48*a(n4) + 8*a(n5).
Empirical g.f.: 6*x*(81  443*x + 692*x^2  376*x^3 + 64*x^4) / (1  16*x + 65*x^2  92*x^3 + 48*x^4  8*x^5).  Colin Barker, Jun 13 2018


EXAMPLE

Some solutions for n=4:
..2..0..1..2..1....0..1..0..1..2....1..0..1..2..0....0..2..1..2..0
..0..2..0..1..2....1..0..1..0..1....2..1..2..0..2....1..0..2..0..1
..1..0..1..0..1....0..1..0..1..2....0..2..0..2..0....2..1..0..1..0
..2..1..2..1..2....1..2..1..2..1....1..0..1..0..1....1..2..1..0..1
..0..2..1..2..0....0..1..0..1..2....2..1..2..1..0....2..0..2..1..0


CROSSREFS

Cf. A206150.
Sequence in context: A158325 A187860 A205240 * A128969 A223412 A097765
Adjacent sequences: A206143 A206144 A206145 * A206147 A206148 A206149


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 04 2012


STATUS

approved



