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.

13, 148, 1977, 27720, 393649, 5608216, 79963353, 1140367704, 16263750913, 231954064216, 3308145663081, 47181050078808, 672900213492241, 9596961465020248, 136872702133795833, 1952090431423132248

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