A203822 Number of (n+1) X 5 0..3 arrays with no 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

104976, 12002256, 1372257936, 157025515248, 17968205387664, 2056114528873776, 235282648691687184, 26923572225438510384, 3080884822612993693584, 352547994011441340096432, 40342335152950317584529936

Offset

1,1

Comments

Column 4 of A203826.

Links

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

Formula

Empirical: a(n) = 117*a(n-1) -34398*a(n-3) +86436*a(n-4).

Empirical g.f.: 11664*x*(9 - 24*x - 2744*x^2 + 7056*x^3) / ((1 - 117*x + 294*x^2)*(1 - 294*x^2)). - Colin Barker, Jun 05 2018

Example

Some solutions for n=4:
..0..1..0..3..3....1..0..0..0..0....1..2..0..1..0....3..3..3..2..1
..2..2..2..1..1....3..2..2..1..1....0..2..3..1..2....0..1..0..2..0
..3..0..3..3..2....1..0..3..3..2....1..2..0..0..2....3..2..3..3..3
..1..0..1..1..0....1..0..1..0..0....0..3..3..3..2....0..0..0..0..1
..2..2..2..2..3....1..0..1..2..1....0..1..1..0..2....2..3..2..2..2

Crossrefs

Cf. A203826.

Sequence in context: A304283 A138165 A202934 * A013889 A353553 A025308

Adjacent sequences: A203819 A203820 A203821 * A203823 A203824 A203825

Keyword

nonn

Author

R. H. Hardin, Jan 06 2012

Status

approved