A204401 Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

4293, 47883, 719125, 6579664, 70193731, 852798050, 8916413698, 96129489898, 1088258363670, 11799987759443, 128424052872957, 1421756480602128, 15554915760569671, 170073781922617341, 1870112186157878650

Offset

1,1

Comments

Column 1 of A204408

Links

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

Formula

Empirical: a(n) = a(n-1) +26*a(n-2) +677*a(n-3) +2185*a(n-4) +4172*a(n-5) +2924*a(n-6) +787*a(n-7) -1302*a(n-8) -864*a(n-9) -324*a(n-10)

Example

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

Crossrefs

Sequence in context: A359304 A233888 A204408 * A204400 A271104 A234164

Adjacent sequences: A204398 A204399 A204400 * A204402 A204403 A204404

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved