A237538 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock equal

256, 1692, 1692, 11602, 23680, 11602, 83104, 330210, 330210, 83104, 598364, 4857060, 9080246, 4857060, 598364, 4364082, 70923320, 266120870, 266120870, 70923320, 4364082, 31944336, 1050283590, 7718716424, 15808900408, 7718716424

Offset

1,1

Comments

Table starts

......256........1692.........11602............83104..............598364

.....1692.......23680........330210..........4857060............70923320

....11602......330210.......9080246........266120870..........7718716424

....83104.....4857060.....266120870......15808900408........924306101684

...598364....70923320....7718716424.....924306101684.....108563082111330

..4364082..1050283590..228011672782...55265390979178...13080735236141448

.31944336.15572216080.6746760123582.3305459406659964.1575053689185059756

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 38]

Example

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

Crossrefs

Sequence in context: A237922 A238072 A238065 * A237532 A237175 A237169

Adjacent sequences: A237535 A237536 A237537 * A237539 A237540 A237541

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 09 2014

Status

approved