

A223933


T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing


8



3, 9, 9, 22, 54, 22, 46, 218, 218, 46, 86, 698, 1116, 698, 86, 148, 1915, 4498, 4498, 1915, 148, 239, 4690, 15791, 21334, 15791, 4690, 239, 367, 10511, 49646, 86439, 86439, 49646, 10511, 367, 541, 21919, 142177, 316136, 386495, 316136, 142177, 21919, 541
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OFFSET

1,1


COMMENTS

Table starts
...3.....9......22.......46........86........148........239.........367
...9....54.....218......698......1915.......4690......10511.......21919
..22...218....1116.....4498.....15791......49646.....142177......375777
..46...698....4498....21334.....86439.....316136....1065625.....3337831
..86..1915...15791....86439....386495....1548633....5773556....20277077
.148..4690...49646...316136...1548633....6621074...26250443....98910688
.239.10511..142177..1065625...5773556...26250443..108796955...427868778
.367.21919..375777..3337831..20277077...98910688..427868778..1735753333
.541.43045..926559..9773219..67308910..356869229.1623374603..6788778441
.771.80334.2150622.26903878.211460339.1233491661.5968786086.25890527027


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180


FORMULA

Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,3,6,9,12


EXAMPLE

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


CROSSREFS

Column 1 is A223718
Sequence in context: A203600 A099720 A183149 * A224057 A224310 A224374
Adjacent sequences: A223930 A223931 A223932 * A223934 A223935 A223936


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Mar 29 2013


STATUS

approved



