A237472 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 356, 356, 1566, 2308, 1566, 6954, 14968, 14968, 6954, 30913, 99086, 143780, 99086, 30913, 136488, 651906, 1417638, 1417638, 651906, 136488, 603184, 4259914, 13827553, 21134116, 13827553, 4259914, 603184, 2671904, 27861088, 133796732

Offset

1,1

Comments

Table starts

.......81........356..........1566............6954.............30913

......356.......2308.........14968...........99086............651906

.....1566......14968........143780.........1417638..........13827553

.....6954......99086.......1417638........21134116.........309663940

....30913.....651906......13827553.......309663940........6781496755

...136488....4259914.....133796732......4493037466......146338935672

...603184...27861088....1299276552.....65361132006.....3172303208646

..2671904..183385520...12704622556....963521033936....70036020900600

.11847888.1204325662..123775917000..14101784196522..1531559920766744

.52383008.7888272520.1201726394292.205512527589358.33246113906104588

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: a(n) = 288*a(n-4) +1840*a(n-6) +784*a(n-8)

k=2: [order 14]

k=3: [order 56]

Example

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

Crossrefs

Sequence in context: A237730 A237317 A237723 * A237465 A236997 A236065

Adjacent sequences: A237469 A237470 A237471 * A237473 A237474 A237475

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2014

Status

approved