A186587 Number of (n+3)X10 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

2296065, 98893, 156259, 335737, 635779, 823249, 855715, 895753, 1034611, 1222033, 1448491, 1784617, 2851075, 4154593, 5572123, 7289065, 11483715, 16527329, 22251883, 29247513, 43331475, 61720401, 84306267, 112868169, 163996035

Offset

1,1

Comments

Column 7 of A186589

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Formula

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

Example

Some solutions for 5X10
..0..0..0..0..0..0..0..2..0..1....0..0..0..0..0..0..0..1..1..2
..0..0..0..0..0..0..0..0..2..1....0..0..0..0..0..0..0..0..1..2
..0..0..0..0..0..0..0..0..0..2....0..0..0..0..0..0..0..0..0..1
..2..0..0..0..0..0..0..0..0..0....2..0..0..0..0..0..0..0..0..0
..2..0..1..0..0..0..0..0..0..0....0..2..2..0..0..0..0..0..0..0

Crossrefs

Sequence in context: A238079 A209958 A324637 * A358872 A252395 A256733

Adjacent sequences: A186584 A186585 A186586 * A186588 A186589 A186590

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved