A206198 - OEIS

A206198

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

256, 1060, 5136, 32920, 118936, 484704, 3270240, 11893600, 48470400, 327024000, 1189360000, 4847040000, 32702400000, 118936000000, 484704000000, 3270240000000, 11893600000000, 48470400000000, 327024000000000

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OFFSET

1,1

COMMENTS

Diagonal of A206206.

LINKS

Table of n, a(n) for n=1..19.

FORMULA

Conjectures from Colin Barker, Jan 18 2018: (Start)

G.f.: 4*x*(64 + 265*x + 1284*x^2 + 1830*x^3 + 3234*x^4 - 7224*x^5 - 5440*x^6) / (1 - 100*x^3).

a(n) = 100*a(n-3) for n>7.

(End)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A045034 A236911 A236904 * A237218 A237212 A237694

Adjacent sequences: A206195 A206196 A206197 * A206199 A206200 A206201

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 04 2012

STATUS

approved