A236782 Number of (n+1)X(1+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

81, 255, 770, 2475, 7967, 26320, 87685, 296341, 1009386, 3469327, 11995679, 41723704, 145746621, 511140805, 1798008490, 6341897735, 22416736479, 79385995448, 281564936853, 999990174053, 3555463819754, 12653797570015

Offset

1,1

Comments

Column 1 of A236789

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -201*a(n-3) +319*a(n-4) +1872*a(n-5) -4022*a(n-6) -9892*a(n-7) +22860*a(n-8) +34480*a(n-9) -71032*a(n-10) -84736*a(n-11) +121824*a(n-12) +140864*a(n-13) -100416*a(n-14) -135936*a(n-15) +17408*a(n-16) +54784*a(n-17) +14336*a(n-18)

Example

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

Crossrefs

Sequence in context: A236789 A236798 A237067 * A236791 A237060 A361179

Adjacent sequences: A236779 A236780 A236781 * A236783 A236784 A236785

Keyword

nonn

Author

R. H. Hardin, Jan 31 2014

Status

approved