A237405 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

81, 322, 1278, 5228, 21456, 87164, 354008, 1441060, 5874828, 23898504, 97285848, 395850152, 1612369288, 6560036288, 26713782880, 108690607360, 442654390864, 1801008543856, 7334492421904, 29841672996416, 121530533355584

Offset

1,1

Comments

Column 1 of A237412.

Links

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

Formula

Empirical: a(n) = 200*a(n-4) +1216*a(n-6) +604*a(n-8) -4556*a(n-10) -2656*a(n-12) +1808*a(n-14) +1024*a(n-16).

Example

Some solutions for n=5
..1..1....1..2....1..1....2..2....1..2....1..1....2..0....0..1....2..0....0..2
..0..0....2..2....1..0....0..2....2..1....1..1....0..0....0..2....1..2....0..0
..2..1....0..2....2..0....0..1....1..1....2..1....0..1....1..2....1..0....1..0
..1..1....1..0....2..0....2..2....2..0....1..2....0..1....2..1....0..1....0..1
..1..1....1..0....0..1....2..1....1..2....0..2....0..2....0..2....0..0....1..2
..2..1....2..1....0..1....1..1....1..0....1..0....0..0....0..1....0..0....0..2

Crossrefs

Sequence in context: A101963 A053171 A237412 * A250443 A017162 A250427

Adjacent sequences: A237402 A237403 A237404 * A237406 A237407 A237408

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved