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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A206472.
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
Comments