A238148 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1608, 10664, 72584, 499560, 3342416, 22488016, 152285824, 1043035504, 6998475712, 47273279296, 319462663168, 2181201937664, 14658851660800, 99259562449664, 669930900621824, 4565506277964288, 30712312453320704

Offset

1,1

Comments

Column 1 of A238155

Links

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

Formula

Empirical: a(n) = 1728*a(n-4) +17152*a(n-6) -2064*a(n-8) -513920*a(n-10) -1449280*a(n-12) -772864*a(n-14) +601600*a(n-16) +334848*a(n-18) -331776*a(n-20) for n>21

Example

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

Crossrefs

Sequence in context: A251974 A250429 A238155 * A237927 A237922 A238072

Adjacent sequences: A238145 A238146 A238147 * A238149 A238150 A238151

Keyword

nonn

Author

R. H. Hardin, Feb 18 2014

Status

approved