A236134 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock

256, 2816, 31552, 351872, 3932416, 43917824, 490505216, 5477885952, 61180809216, 683313242112, 7631647948800, 85233802444800, 951938625634304, 10631822915534848, 118742303933464576, 1326179385977864192

Offset

1,1

Comments

Column 1 of A236137

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +12*a(n-2) +328*a(n-3) +5216*a(n-4) +18624*a(n-5) +87168*a(n-6) +194304*a(n-7) -1173760*a(n-8) -4189696*a(n-9) -15864832*a(n-10) -40843264*a(n-11) +123420672*a(n-12) +390070272*a(n-13) +424673280*a(n-14) +1104150528*a(n-15) -2717908992*a(n-16) -8153726976*a(n-17)

Example

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

Crossrefs

Sequence in context: A236949 A236942 A236137 * A236588 A236585 A235818

Adjacent sequences: A236131 A236132 A236133 * A236135 A236136 A236137

Keyword

nonn

Author

R. H. Hardin, Jan 19 2014

Status

approved