A223811 - OEIS

%I #4 Mar 27 2013 09:12:27

%S 4,16,16,50,256,50,130,2500,2500,130,296,16900,58806,16900,296,610,

%T 87616,825896,825896,87616,610,1163,372100,8165133,20847008,8165133,

%U 372100,1163,2083,1352569,62305953,342521725,342521725,62305953,1352569,2083

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

%C Table starts

%C ....4.......16..........50............130.............296.............610

%C ...16......256........2500..........16900...........87616..........372100

%C ...50.....2500.......58806.........825896.........8165133........62305953

%C ..130....16900......825896.......20847008.......342521725......4146732319

%C ..296....87616.....8165133......342521725......8597979566....151474085262

%C ..610...372100....62305953.....4146732319....151474085262...3678996027680

%C .1163..1352569...388531932....39816673636...2058985931297..66795003874023

%C .2083..4338889..2057610878...317796753758..22901512677629.975436194200049

%C .3544.12559936..9513089522..2176384736806.216485354275124

%C .5776.33362176.39201336756.13081738670880

%H R. H. Hardin, <a href="/A223811/b223811.txt">Table of n, a(n) for n = 1..97</a>

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

%e Some solutions for n=3 k=4

%e ..0..0..3..0....1..1..1..1....0..1..0..0....0..0..2..1....0..0..3..1

%e ..0..0..2..2....0..2..3..1....1..2..3..2....1..3..2..1....0..1..3..1

%e ..0..2..2..0....0..2..2..1....1..2..2..3....0..2..3..3....1..3..0..0

%Y Column 1 is A223659

%Y Column 2 is A223756

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 27 2013