A235747 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise.

256, 2982, 2982, 33640, 103106, 33640, 343500, 3493283, 3493283, 343500, 3415268, 102505743, 351909466, 102505743, 3415268, 32611962, 2937817702, 30537258362, 30537258362, 2937817702, 32611962, 306033109, 78357821891, 2563845268583

Offset

1,1

Comments

Table starts

......256........2982...........33640.............343500.............3415268

.....2982......103106.........3493283..........102505743..........2937817702

....33640.....3493283.......351909466........30537258362.......2563845268583

...343500...102505743.....30537258362......8031688723354....2069114938398467

..3415268..2937817702...2563845268583...2069114938398467.1663136023018532612

.32611962.78357821891.197624940459675.491993262003115868

Links

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

Example

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

Crossrefs

Column 1 is A235502

Sequence in context: A236589 A236142 A236139 * A235506 A235502 A236202

Adjacent sequences: A235744 A235745 A235746 * A235748 A235749 A235750

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved