A236199 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock

256, 3020, 35874, 427680, 5098640, 60725856, 723344402, 8617376624, 102659701914, 1222955615632, 14568798764580, 173556031634952, 2067546134560766, 24630307231347920, 293416564842646058

Offset

1,1

Comments

Column 1 of A236202

Links

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

Formula

Empirical: a(n) = a(n-1) +19*a(n-2) +483*a(n-3) +6515*a(n-4) +30487*a(n-5) +130534*a(n-6) +268052*a(n-7) -1853784*a(n-8) -10798260*a(n-9) -40876008*a(n-10) -100945632*a(n-11) +217780976*a(n-12) +1450894176*a(n-13) +3234709632*a(n-14) +5425161856*a(n-15) -12402266368*a(n-16) -67991835648*a(n-17) -74628667392*a(n-18) -3822813184*a(n-19) +259752861696*a(n-20) +812620038144*a(n-21) +144847536128*a(n-22) -1801215803392*a(n-23) -1109966979072*a(n-24) +1391295725568*a(n-25) +1079802593280*a(n-26) -338379669504*a(n-27) -293534171136*a(n-28)

Example

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

Crossrefs

Sequence in context: A235506 A235502 A236202 * A188823 A205935 A205928

Adjacent sequences: A236196 A236197 A236198 * A236200 A236201 A236202

Keyword

nonn

Author

R. H. Hardin, Jan 20 2014

Status

approved