A236877 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal

81, 211, 537, 1523, 4309, 12723, 37701, 113771, 344885, 1055235, 3241909, 10016411, 31053157, 96649875, 301652453, 944231531, 2962345045, 9314825443, 29344133653, 92608555963, 292718067013, 926588796211, 2936874197061, 9319996691467

Offset

1,1

Comments

Column 1 of A236884

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +8*a(n-2) -146*a(n-3) +101*a(n-4) +1205*a(n-5) -1580*a(n-6) -5058*a(n-7) +8248*a(n-8) +11528*a(n-9) -21176*a(n-10) -13840*a(n-11) +27808*a(n-12) +7360*a(n-13) -16768*a(n-14) -768*a(n-15) +3072*a(n-16)

Example

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

Crossrefs

Sequence in context: A350198 A236884 A236728 * A236721 A255110 A378789

Adjacent sequences: A236874 A236875 A236876 * A236878 A236879 A236880

Keyword

nonn

Author

R. H. Hardin, Feb 01 2014

Status

approved