A237532 Number of (n+1)X(1+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock equal

256, 1692, 11602, 83104, 598364, 4364082, 31944336, 235256268, 1738258026, 12893878848, 95919856580, 715664084818, 5352837879288, 40130893138332, 301489296666562, 2269299751178560, 17109984950539036, 129203951232487378

Offset

1,1

Comments

Column 1 of A237538

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -64*a(n-2) -539*a(n-3) +3795*a(n-4) +1414*a(n-5) -58056*a(n-6) +84851*a(n-7) +309622*a(n-8) -875960*a(n-9) -155176*a(n-10) +2621808*a(n-11) -2284736*a(n-12) -1589504*a(n-13) +3589120*a(n-14) -2039808*a(n-15) +393216*a(n-16)

Example

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

Crossrefs

Sequence in context: A238072 A238065 A237538 * A237175 A237169 A237936

Adjacent sequences: A237529 A237530 A237531 * A237533 A237534 A237535

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved