A186567 Number of (n+2)X10 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

35198, 4795, 8029, 18415, 33445, 44887, 60973, 82783, 112357, 168727, 255085, 381007, 587317, 891271, 1333501, 2082015, 3198533, 4843447, 7513549, 11527567, 17482837, 26985511, 41409053, 63004927, 97035813, 148936471, 227092333

Offset

1,1

Comments

Column 8 of A186568

Links

R. H. Hardin, Table of n, a(n) for n = 1..163

Formula

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

Example

Some solutions for 4X10
..0..0..2..0..0..0..0..0..0..2....1..0..0..1..0..0..2..0..0..1
..0..0..0..2..0..0..0..0..0..1....0..1..0..0..1..0..0..2..0..0
..0..0..0..0..2..0..0..0..0..0....0..0..1..0..0..1..0..0..2..0
..0..0..0..0..0..2..0..0..0..0....2..0..0..1..0..0..1..0..0..2

Crossrefs

Sequence in context: A204491 A085545 A031855 * A235279 A358856 A133282

Adjacent sequences: A186564 A186565 A186566 * A186568 A186569 A186570

Keyword

nonn

Author

R. H. Hardin Feb 23 2011

Status

approved