A236610 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock

81, 426, 426, 2269, 3056, 2269, 12004, 21814, 21814, 12004, 63945, 157852, 216432, 157852, 63945, 339684, 1148940, 2192662, 2192662, 1148940, 339684, 1806104, 8334390, 22613889, 32232284, 22613889, 8334390, 1806104, 9590924, 60321850

Offset

1,1

Comments

Table starts

........81.........426..........2269..........12004...........63945

.......426........3056.........21814.........157852.........1148940

......2269.......21814........216432........2192662........22613889

.....12004......157852.......2192662.......32232284.......482194440

.....63945.....1148940......22613889......482194440.....10662271681

....339684.....8334390.....229977940.....7140442816....231503851600

...1806104....60321850....2342679410...105098040870...5012901082760

...9590924...437145312...23816075424..1555308108966.108685943861624

..50981860..3170639968..243763361660.23066776469364

.270885808.22986654954.2479046935412

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

k=2: [order 42]

Example

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

Crossrefs

Sequence in context: A206661 A238173 A206407 * A236704 A236604 A236698

Adjacent sequences: A236607 A236608 A236609 * A236611 A236612 A236613

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved