A236195 Number of (n+1)X(1+1) 0..3 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock

256, 2936, 33546, 384948, 4420718, 50726030, 582030405, 6678887600, 76642036820, 879474040300, 10092031952668, 115807070813932, 1328898059131964, 15249237689151180, 174986508843501112, 2007987538568156456

Offset

1,1

Comments

Column 1 of A236198

Links

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

Formula

Empirical: a(n) = 516*a(n-3) +5816*a(n-4) +37532*a(n-5) +231596*a(n-6) +764844*a(n-7) +1715376*a(n-8) -1357168*a(n-9) -42745276*a(n-10) -153767280*a(n-11) -431875072*a(n-12) -123659920*a(n-13) +4702191392*a(n-14) +13369236960*a(n-15) +30583728704*a(n-16) -22184540032*a(n-17) -348606397056*a(n-18) -483527063936*a(n-19) -291912627712*a(n-20) +2672313523200*a(n-21) +11142083325952*a(n-22) -2353571336192*a(n-23) -31652816760832*a(n-24) -26874924023808*a(n-25) -23414934798336*a(n-26) +107538205343744*a(n-27) +223851631214592*a(n-28) -56862073290752*a(n-29) -323549784440832*a(n-30) -438679066640384*a(n-31) +148077605289984*a(n-32) +877231452717056*a(n-33) +45733914869760*a(n-34) -544117377466368*a(n-35) -99794924077056*a(n-36) +119313184849920*a(n-37)

Example

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

Crossrefs

Sequence in context: A235579 A236654 A236198 * A236592 A236589 A236142

Adjacent sequences: A236192 A236193 A236194 * A236196 A236197 A236198

Keyword

nonn

Author

R. H. Hardin, Jan 20 2014

Status

approved