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A210158 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having two or three distinct values, and new values 0..3 introduced in row major order. 1
13, 148, 1977, 27720, 393649, 5608216, 79963353, 1140367704, 16263750913, 231954064216, 3308145663081, 47181050078808, 672900213492241, 9596961465020248, 136872702133795833, 1952090431423132248 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A210165.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) - 19*a(n-2) - 80*a(n-3) - 36*a(n-4).

Empirical g.f.: x*(13 - 60*x - 144*x^2 - 60*x^3) / ((1 - 3*x - 2*x^2)*(1 - 13*x - 18*x^2)). - Colin Barker, Jul 14 2018

EXAMPLE

Some solutions for n=4:

  0 0   0 0   0 0   0 0   0 1   0 0   0 0   0 1   0 1   0 1

  0 1   0 1   0 1   0 1   1 0   0 1   0 1   1 0   0 1   0 1

  0 2   2 0   1 1   2 0   0 0   0 1   0 0   0 0   0 0   0 0

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

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

CROSSREFS

Cf. A210165.

Sequence in context: A210165 A132156 A324356 * A130611 A127747 A090667

Adjacent sequences:  A210155 A210156 A210157 * A210159 A210160 A210161

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 18 2012

STATUS

approved

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Last modified October 18 11:19 EDT 2021. Contains 348067 sequences. (Running on oeis4.)