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

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A223659

Column 2 is A223756

Formula

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