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A223811 T(n,k)=Number of nXk 0..3 arrays with rows, columns, diagonals and antidiagonals unimodal 5
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)