A236730 Number of (n+1)X(1+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock equal

81, 345, 1497, 6663, 29617, 132471, 592001, 2651151, 11872153, 53217175, 238621713, 1070656959, 4805940169, 21584396967, 96984517953, 435991819343, 1960896534009, 8823336533943, 39719697816561, 178884059892959

Offset

1,1

Comments

Column 1 of A236737

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -9*a(n-2) -109*a(n-3) +254*a(n-4) +260*a(n-5) -1156*a(n-6) +576*a(n-7) +944*a(n-8) -1024*a(n-9) +256*a(n-10)

Example

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

Crossrefs

Sequence in context: A237242 A236089 A236737 * A237324 A237730 A237317

Adjacent sequences: A236727 A236728 A236729 * A236731 A236732 A236733

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved