A237802 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal

81, 295, 1085, 4251, 16837, 67947, 276369, 1134515, 4684181, 19450171, 81100993, 339457379, 1425136661, 5999163595, 25309534081, 106984014995, 452964814549, 1920577803291, 8153285530497, 34649745217859, 147391128277013

Offset

1,1

Comments

Column 1 of A237809

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +15*a(n-2) -179*a(n-3) -a(n-4) +1813*a(n-5) -1183*a(n-6) -9345*a(n-7) +9082*a(n-8) +26172*a(n-9) -31096*a(n-10) -38996*a(n-11) +54928*a(n-12) +26992*a(n-13) -49024*a(n-14) -4160*a(n-15) +18816*a(n-16) -2304*a(n-17) -1536*a(n-18)

Example

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

Crossrefs

Sequence in context: A235954 A235947 A237809 * A237779 A237772 A236819

Adjacent sequences: A237799 A237800 A237801 * A237803 A237804 A237805

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved