A203917 Number of (n+2)X4 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order

392, 1682, 6050, 21632, 77618, 279752, 1008200, 3628818, 13056050, 46986818, 169132832, 608795618, 2191220000, 7886675232, 28386296450, 102170984882, 367744025618, 1323616564512, 4764074516450, 17147281548168, 61718049816200

Offset

1,1

Comments

Column 2 of A203923

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-3) +16*a(n-4) +10*a(n-5) -16*a(n-6) -17*a(n-7) -5*a(n-8) -2*a(n-9) +a(n-10) for n>11

Example

Some solutions for n=3
..0..0..1..1....0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..0
..0..0..1..0....1..1..1..1....0..0..0..0....0..0..0..0....0..1..0..1
..0..1..0..1....1..1..1..1....1..0..0..0....0..0..0..1....1..0..1..0
..1..0..1..0....1..1..1..1....0..0..0..1....1..0..0..1....1..1..0..0
..1..0..0..1....0..1..1..1....0..1..0..0....0..0..0..0....0..0..1..0

Crossrefs

Sequence in context: A248022 A261379 A235313 * A180295 A166988 A264311

Adjacent sequences: A203914 A203915 A203916 * A203918 A203919 A203920

Keyword

nonn

Author

R. H. Hardin Jan 07 2012

Status

approved