A204567 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

256, 6112, 158981, 4220392, 112592256, 3007468553, 80358249724, 2147311723128, 57381098807117, 1533363080745712, 40975264290787104, 1094961088264570145, 29260089513854569828, 781902543548899924344, 20894385553758379097861

Offset

1,1

Comments

Column 3 of A204572

Links

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

Formula

Empirical: a(n) = 41*a(n-1) -451*a(n-2) +2007*a(n-3) -4185*a(n-4) +4371*a(n-5) -2214*a(n-6) +432*a(n-7)

Example

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

Crossrefs

Sequence in context: A113173 A223964 A195595 * A077072 A283339 A128698

Adjacent sequences: A204564 A204565 A204566 * A204568 A204569 A204570

Keyword

nonn

Author

R. H. Hardin Jan 16 2012

Status

approved