A235842 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing rowwise and columnwise

81, 487, 487, 2581, 6921, 2581, 12373, 86509, 86509, 12373, 55929, 919222, 2919508, 919222, 55929, 241933, 8638740, 84434218, 84434218, 8638740, 241933, 1015889, 73276865, 2090202044, 7084268884, 2090202044, 73276865, 1015889, 4174941

Offset

1,1

Comments

Table starts

.......81........487.........2581..........12373...........55929.........241933

......487.......6921........86509.........919222.........8638740.......73276865

.....2581......86509......2919508.......84434218......2090202044....44724089619

....12373.....919222.....84434218.....7084268884....509718744920.31142484762646

....55929....8638740...2090202044...509718744920.109676839408289

...241933...73276865..44724089619.31142484762646

..1015889..573836909.849474770590

..4174941.4209526173

.16895401

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

Example

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

Crossrefs

Sequence in context: A205246 A205239 A236427 * A235838 A304617 A205206

Adjacent sequences: A235839 A235840 A235841 * A235843 A235844 A235845

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved