A236783 Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

255, 1097, 4452, 19851, 87889, 405350, 1877803, 8891685, 42339874, 204256129, 989815233, 4835576474, 23700386333, 116758334093, 576519616008, 2856054677187, 14171463522891, 70467204359198, 350790297038485

Offset

1,1

Comments

Column 2 of A236789

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -145*a(n-2) -234*a(n-3) +6880*a(n-4) -19940*a(n-5) -92792*a(n-6) +593404*a(n-7) +66753*a(n-8) -7105820*a(n-9) +10259982*a(n-10) +44201366*a(n-11) -120008970*a(n-12) -136396696*a(n-13) +699300702*a(n-14) +46313296*a(n-15) -2478218108*a(n-16) +1244671494*a(n-17) +5661814333*a(n-18) -5050034688*a(n-19) -8465863134*a(n-20) +10417098396*a(n-21) +8197726584*a(n-22) -13227353752*a(n-23) -4935036828*a(n-24) +10838034848*a(n-25) +1645800008*a(n-26) -5758739808*a(n-27) -170986944*a(n-28) +1942394944*a(n-29) -64872256*a(n-30) -395392512*a(n-31) +22059776*a(n-32) +43732480*a(n-33) -1955840*a(n-34) -1996800*a(n-35)

Example

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

Crossrefs

Sequence in context: A143035 A157778 A158010 * A237061 A236792 A259247

Adjacent sequences: A236780 A236781 A236782 * A236784 A236785 A236786

Keyword

nonn

Author

R. H. Hardin, Jan 31 2014

Status

approved