A236605 Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock

426, 3056, 21814, 157852, 1148940, 8334390, 60321850, 437145312, 3170639968, 22986654954, 166589069278, 1207529662436, 8754117362818, 63459178604360, 459991788481964, 3334414119424578, 24171289384341708, 175216213885020152

Offset

1,1

Comments

Column 2 of A236610

Links

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

Formula

Empirical: a(n) = 109*a(n-3) +1108*a(n-4) +3889*a(n-5) +14249*a(n-6) +28939*a(n-7) -17127*a(n-8) -172863*a(n-9) -670167*a(n-10) -1382408*a(n-11) +296591*a(n-12) +5438289*a(n-13) +11641832*a(n-14) +10730212*a(n-15) -21846848*a(n-16) -68907209*a(n-17) -54295868*a(n-18) +70288829*a(n-19) +252018085*a(n-20) +188974573*a(n-21) -282707596*a(n-22) -660413331*a(n-23) -256622389*a(n-24) +810114857*a(n-25) +1019574008*a(n-26) -356795815*a(n-27) -1213300047*a(n-28) -175143480*a(n-29) +813009083*a(n-30) +323733104*a(n-31) -352983365*a(n-32) -223632713*a(n-33) +75053692*a(n-34) +107006082*a(n-35) -5715579*a(n-36) -24600924*a(n-37) +5658819*a(n-38) -2140420*a(n-39) -1011228*a(n-40) -5680*a(n-41) +2176*a(n-42)

Example

Some solutions for n=4
..1..0..2....0..2..0....0..2..1....1..1..0....0..0..2....0..2..2....1..0..1
..0..2..1....1..2..2....2..1..2....1..0..0....0..1..1....0..0..1....2..2..0
..1..1..2....1..2..1....2..1..0....1..0..0....2..1..2....0..0..2....2..2..1
..2..2..0....0..2..1....0..2..0....2..0..1....1..2..0....2..1..2....0..2..1
..1..0..0....2..0..1....0..2..2....2..2..2....2..0..1....2..2..1....0..0..1

Crossrefs

Sequence in context: A305267 A045094 A252411 * A236699 A338154 A173374

Adjacent sequences: A236602 A236603 A236604 * A236606 A236607 A236608

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved