A235559 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing rowwise and columnwise

256, 2612, 2612, 23024, 86742, 23024, 180640, 2481481, 2481481, 180640, 1321956, 58495571, 269127070, 58495571, 1321956, 9182760, 1190247008, 24006644081, 24006644081, 1190247008, 9182760, 61590128, 21374536916, 1779283912244

Offset

1,1

Comments

Table starts

......256........2612.........23024........180640.......1321956.........9182760

.....2612.......86742.......2481481......58495571....1190247008.....21374536916

....23024.....2481481.....269127070...24006644081.1779283912244.111365596706324

...180640....58495571...24006644081.8553264090329

..1321956..1190247008.1779283912244

..9182760.21374536916

.61590128

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Formula

Empirical for column 1: [linear recurrence of order 38]

Example

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

Crossrefs

Sequence in context: A236601 A236597 A235779 * A235556 A236624 A236620

Adjacent sequences: A235556 A235557 A235558 * A235560 A235561 A235562

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved