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A204071 Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order. 1
188, 2882, 45056, 706454, 11081828, 173848010, 2727300008, 42785526110, 671213931980, 10529919897938, 165192062569424, 2591512360153766, 40655320900906676, 637795575671145050, 10005657004627715960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A204076.

LINKS

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

FORMULA

Empirical: a(n) = 20*a(n-1) - 73*a(n-2) + 86*a(n-3) - 32*a(n-4).

Empirical g.f.: 2*x*(94 - 439*x + 570*x^2 - 224*x^3) / ((1 - x)*(1 - 19*x + 54*x^2 - 32*x^3)). - Colin Barker, Jun 06 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A204076.

Sequence in context: A064115 A185241 A211818 * A089273 A035832 A065612

Adjacent sequences:  A204068 A204069 A204070 * A204072 A204073 A204074

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 10 2012

STATUS

approved

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Last modified July 31 01:59 EDT 2021. Contains 346366 sequences. (Running on oeis4.)