A206466 Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having zero permanent.

121, 1411, 11025, 106891, 958441, 8963667, 82609921, 767387611, 7109019225, 65954564131, 611588125681, 5672733227307, 52611971134921, 487976540781811, 4525907460768225, 41977494854894971, 389337236836785721

Offset

1,1

Comments

Column 2 of A206472.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) - 176*a(n-3) + 256*a(n-4).

Empirical g.f.: x*(121 + 80*x - 4496*x^2 + 6912*x^3) / ((1 - 4*x)*(1 + 4*x)*(1 - 11*x + 16*x^2)). - Colin Barker, Jun 16 2018

Example

Some solutions for n=4:
  2 2 1   2 1 0   2 2 1   0 0 0   0 0 1   0 0 0   2 0 1
  0 0 0   0 0 0   0 0 0   1 2 0   1 0 1   0 1 2   2 0 1
  0 0 2   1 1 0   2 1 1   0 0 0   2 0 2   0 0 0   1 0 1
  2 0 1   0 0 0   0 0 0   1 1 2   0 0 1   2 1 2   0 0 1
  0 0 2   0 0 2   1 1 0   0 0 0   1 0 0   0 0 0   2 0 1

Crossrefs

Cf. A206472.

Sequence in context: A254970 A036308 A066444 * A137434 A175111 A115190

Adjacent sequences: A206463 A206464 A206465 * A206467 A206468 A206469

Keyword

nonn

Author

R. H. Hardin, Feb 08 2012

Status

approved