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A206233 Number of (n+1) X 4 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order. 1
310, 1136, 4456, 27168, 133392, 607008, 3503136, 17206032, 78302496, 451903008, 2219576592, 10101020448, 58295486496, 286325378832, 1303031636256, 7520117756448, 36935973867792, 168091081075488, 970095190580256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A206238.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + 129*a(n-3) - 129*a(n-4) for n>7.

Empirical g.f.: 2*x*(155 + 413*x + 1660*x^2 - 8639*x^3 - 165*x^4 + 22668*x^5 - 16860*x^6) / ((1 - x)*(1 - 129*x^3)). - Colin Barker, Jun 14 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206238.

Sequence in context: A051981 A134549 A304384 * A254972 A237697 A218103

Adjacent sequences:  A206230 A206231 A206232 * A206234 A206235 A206236

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 05 2012

STATUS

approved

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Last modified January 24 17:28 EST 2022. Contains 350565 sequences. (Running on oeis4.)