A237899 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1768, 12441, 88964, 636720, 4539422, 32392585, 231168380, 1651386880, 11781707484, 84133281516, 600305505960, 4287360280804, 30589999124616, 218462455254332, 1558732440419296, 11132074626065648, 79427162629506432

Offset

1,1

Comments

Column 1 of A237904

Links

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

Formula

Empirical: a(n) = 1784*a(n-4) +39800*a(n-6) +151364*a(n-8) -3049440*a(n-10) -26111208*a(n-12) +14962784*a(n-14) +687231488*a(n-16) +1360519984*a(n-18) -4184091008*a(n-20) -12843568640*a(n-22) +1638036736*a(n-24) +9279855360*a(n-26) -23629565952*a(n-28) +19040813056*a(n-30) +44134580224*a(n-32) -27197440000*a(n-34) -25461784576*a(n-36) +7525629952*a(n-38) +2793406464*a(n-40) for n>41

Example

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

Crossrefs

Sequence in context: A237785 A237780 A237904 * A238311 A205944 A238306

Adjacent sequences: A237896 A237897 A237898 * A237900 A237901 A237902

Keyword

nonn

Author

R. H. Hardin, Feb 15 2014

Status

approved