A237786 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1902, 14369, 108626, 822482, 6206506, 46951577, 354492388, 2682430004, 20249512232, 153214659580, 1156665099968, 8751938508392, 66070136649952, 499917695693080, 3773995527721904, 28555890125652136, 215574798983581408

Offset

1,1

Comments

Column 1 of A237791

Links

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

Formula

Empirical: a(n) = 2044*a(n-4) +57712*a(n-6) +627304*a(n-8) +2916648*a(n-10) +5816832*a(n-12) +11824576*a(n-14) +34380288*a(n-16) +53691776*a(n-18) +42450944*a(n-20) +56373760*a(n-22) +52514816*a(n-24) +67936256*a(n-26) +35323904*a(n-28) +5242880*a(n-30)

Example

Some solutions for n=4
..2..1....0..3....2..1....2..0....1..1....1..3....2..0....2..0....2..3....0..0
..0..3....2..1....3..3....1..2....0..0....3..2....2..2....0..0....2..3....2..2
..0..1....2..0....3..3....1..2....1..2....2..2....1..2....3..1....1..2....3..3
..0..2....1..0....1..0....1..3....3..1....3..1....2..1....0..1....2..2....1..2
..3..2....0..3....1..0....2..2....2..3....1..2....1..0....2..2....3..1....0..2

Crossrefs

Sequence in context: A237539 A206745 A237791 * A238063 A238058 A235972

Adjacent sequences: A237783 A237784 A237785 * A237787 A237788 A237789

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved