A236819 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal

81, 303, 303, 1162, 1791, 1162, 4627, 10702, 10702, 4627, 18527, 66853, 98380, 66853, 18527, 75330, 419301, 956456, 956456, 419301, 75330, 307321, 2680296, 9360398, 14757359, 9360398, 2680296, 307321, 1264403, 17221539, 93804194, 230126265

Offset

1,1

Comments

Table starts

.......81........303..........1162............4627.............18527

......303.......1791.........10702...........66853............419301

.....1162......10702.........98380..........956456...........9360398

.....4627......66853........956456........14757359.........230126265

....18527.....419301.......9360398.......230126265........5737086630

....75330....2680296......93804194......3697318630......148094642882

...307321...17221539.....947327860.....60011383119.....3864575378035

..1264403..111813697....9682975968....987175371637...102225528160171

..5216986..729282012...99543701888..16341810901082..2719153814334744

.21640527.4786748055.1030061727604.272220635630305.72722922283523296

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 15]

k=2: [order 34]

k=3: [order 87]

Example

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

Crossrefs

Sequence in context: A237802 A237779 A237772 * A237099 A236812 A237092

Adjacent sequences: A236816 A236817 A236818 * A236820 A236821 A236822

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved