A238145 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1810, 1810, 12981, 22698, 12981, 94458, 292176, 292176, 94458, 687254, 3817216, 6799917, 3817216, 687254, 4977790, 49554382, 160133604, 160133604, 49554382, 4977790, 36125717, 642717388, 3756442630, 6863396252, 3756442630

Offset

1,1

Comments

Table starts

.......256.........1810..........12981.............94458...............687254

......1810........22698.........292176...........3817216.............49554382

.....12981.......292176........6799917.........160133604...........3756442630

.....94458......3817216......160133604........6863396252.........292335443616

....687254.....49554382.....3756442630......292335443616.......22569314353994

...4977790....642717388....88011173220....12430740302096.....1735590139495580

..36125717...8350461834..2067349618435...529306438594610...133985522364550954

.262009080.108497620520.48473348771212.22541568260503428.10333049915756021016

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: [linear recurrence of order 34]

Example

Some solutions for n=2 k=4
..0..0..3..2..2....0..0..0..0..3....0..0..0..1..3....0..0..2..1..3
..2..0..1..0..1....2..0..1..2..0....2..1..3..2..1....0..3..1..0..1
..3..0..2..1..1....1..2..0..2..0....2..0..3..2..1....3..1..1..3..0

Crossrefs

Sequence in context: A205937 A237911 A237905 * A238140 A238298 A238293

Adjacent sequences: A238142 A238143 A238144 * A238146 A238147 A238148

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 18 2014

Status

approved