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A205425 Number of (n+1) X 3 0..3 arrays with the number of equal 2 X 2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..3 introduced in row major order. 1
102, 1662, 29022, 513038, 9083342, 160862398, 2848901694, 50454831598, 893569527598, 15825374247326, 280271949540510, 4963697203151822, 87908511615417998, 1556885139957443710, 27572885656837390590 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A205431.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) +37*a(n-2) -108*a(n-3) -192*a(n-4).

Empirical g.f.: 2*x*(51 + 15*x - 672*x^2 - 896*x^3) / ((1 - x - 4*x^2)*(1 - 15*x - 48*x^2)). - Colin Barker, Jun 11 2018

EXAMPLE

Some solutions for n=4:

..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0

..1..0..0....0..0..1....1..0..0....0..1..1....1..0..0....1..1..0....0..0..1

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

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

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

CROSSREFS

Cf. A205431.

Sequence in context: A199830 A200452 A204859 * A206651 A163435 A223308

Adjacent sequences:  A205422 A205423 A205424 * A205426 A205427 A205428

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2012

STATUS

approved

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Last modified July 8 08:08 EDT 2020. Contains 335520 sequences. (Running on oeis4.)