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A210313 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or three distinct values, and new values 0..3 introduced in row major order. 1
0, 35, 995, 19186, 319485, 4963700, 74362241, 1091691712, 15840736305, 228277891400, 3276198192905, 46903413280504, 670487434284753, 9575993410570520, 136690481022953081, 1950506854209691864 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210320.

LINKS

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

FORMULA

Empirical: a(n) = 24*a(n-1) - 141*a(n-2) - 24*a(n-3) + 718*a(n-4) + 768*a(n-5) + 216*a(n-6).

Empirical g.f.: x^2*(35 + 155*x + 241*x^2 + 156*x^3 + 36*x^4) / ((1 - 3*x - 2*x^2)*(1 - 8*x - 6*x^2)*(1 - 13*x - 18*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210320.

Sequence in context: A115473 A002453 A240826 * A049395 A278723 A215296

Adjacent sequences:  A210310 A210311 A210312 * A210314 A210315 A210316

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 20 2012

STATUS

approved

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Last modified October 21 05:28 EDT 2021. Contains 348141 sequences. (Running on oeis4.)