A236705 Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median of every 2X2 subblock

81, 442, 2464, 13720, 76404, 424600, 2361716, 13136192, 73071732, 406402784, 2260476660, 12572745216, 69931253876, 388958563328, 2163420804596, 12033035388224, 66928590189940, 372260237706816, 2070535450010484

Offset

1,1

Comments

Column 1 of A236710

Links

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

Formula

Empirical: a(n) = 34*a(n-3) +413*a(n-4) +974*a(n-5) +4004*a(n-6) +7592*a(n-7) +6608*a(n-8) +7352*a(n-9) -40208*a(n-10) -84960*a(n-11) -91776*a(n-12) -114528*a(n-13) +99776*a(n-14) +231424*a(n-15) +141312*a(n-16) +91136*a(n-17) -16384*a(n-18) -32768*a(n-19)

Example

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

Crossrefs

Sequence in context: A270538 A230064 A236710 * A253749 A253375 A204230

Adjacent sequences: A236702 A236703 A236704 * A236706 A236707 A236708

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved