A223811 T(n,k)=Number of nXk 0..3 arrays with rows, columns, diagonals and antidiagonals unimodal

4, 16, 16, 50, 256, 50, 130, 2500, 2500, 130, 296, 16900, 58806, 16900, 296, 610, 87616, 825896, 825896, 87616, 610, 1163, 372100, 8165133, 20847008, 8165133, 372100, 1163, 2083, 1352569, 62305953, 342521725, 342521725, 62305953, 1352569, 2083

Offset

1,1

Comments

Table starts

....4.......16..........50............130.............296.............610

...16......256........2500..........16900...........87616..........372100

...50.....2500.......58806.........825896.........8165133........62305953

..130....16900......825896.......20847008.......342521725......4146732319

..296....87616.....8165133......342521725......8597979566....151474085262

..610...372100....62305953.....4146732319....151474085262...3678996027680

.1163..1352569...388531932....39816673636...2058985931297..66795003874023

.2083..4338889..2057610878...317796753758..22901512677629.975436194200049

.3544.12559936..9513089522..2176384736806.216485354275124

.5776.33362176.39201336756.13081738670880

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,0,8,15

Example

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

Crossrefs

Column 1 is A223659

Column 2 is A223756

Sequence in context: A224281 A224204 A238287 * A223762 A223850 A223663

Adjacent sequences: A223808 A223809 A223810 * A223812 A223813 A223814

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved