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A236158 Number of (n+1) X (2+1) 0..2 arrays colored with the sets of distinct values in every 2 X 2 subblock, with new values 0..2 introduced row-major order. 1
69, 417, 2688, 17406, 112830, 731610, 4743680, 30758256, 199437026, 1293154716, 8384845368, 54367536934, 352520397960, 2285750623774, 14820861258700, 96098815951376, 623107002046964, 4040240581140500, 26197015761022948 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) + 19*a(n-2) + 24*a(n-3) - a(n-4) - 22*a(n-5) - 11*a(n-6) - 2*a(n-7) - 2*a(n-8).

Empirical g.f.: x*(69 + 210*x + 126*x^2 - 237*x^3 - 399*x^4 - 171*x^5 - 43*x^6 - 27*x^7) / (1 - 3*x - 19*x^2 - 24*x^3 + x^4 + 22*x^5 + 11*x^6 + 2*x^7 + 2*x^8). - Colin Barker, Oct 20 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 2 of A236164.

Sequence in context: A158736 A262456 A161486 * A253342 A253335 A234832

Adjacent sequences:  A236155 A236156 A236157 * A236159 A236160 A236161

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 19 2014

STATUS

approved

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Last modified November 26 12:09 EST 2022. Contains 358359 sequences. (Running on oeis4.)