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A224262
T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
12
3, 9, 6, 22, 36, 10, 46, 158, 100, 15, 86, 548, 648, 225, 21, 148, 1600, 3096, 2017, 441, 28, 239, 4102, 12032, 12467, 5246, 784, 36, 367, 9503, 40182, 59855, 41012, 11990, 1296, 45, 541, 20299, 119367, 240829, 238366, 116692, 24842, 2025, 55, 771, 40570
OFFSET
1,1
COMMENTS
Table starts
..3....9.....22......46.......86.......148........239.........367..........541
..6...36....158.....548.....1600......4102.......9503.......20299........40570
.10..100....648....3096....12032.....40182.....119367......322885.......808618
.15..225...2017...12467....59855....240829.....850875.....2717731......8000608
.21..441...5246...41012...238366...1122522....4542734....16423026.....54399996
.28..784..11990..116692...816361...4480391...20568693....82733667....301228048
.36.1296..24842..296646..2485967..15921905...83124099...371699763...1478187738
.45.2025..47643..688533..6868203..51343083..306179180..1530419762...6671184875
.55.3025..85838.1482310.17467782.152072846.1038489172..5835731860..28072690614
.66.4356.146878.2995516.41364960.417672794.3266157979.20709405119.110622071553
LINKS
FORMULA
Empirical: columns k=1..7 are polynomials of order 2*k for n>0,0,0,2,4,6,8
Empirical: rows n=1..7 are polynomials of degree 4*n for k>0,0,0,2,4,6,8
EXAMPLE
Some solutions for n=3 k=4
..1..1..0..0....1..1..1..1....1..1..2..1....0..2..1..0....0..0..0..0
..2..1..1..0....1..2..2..1....2..2..2..1....0..2..1..1....0..0..2..0
..2..2..1..1....2..2..2..1....2..2..2..2....0..2..2..1....0..0..2..2
CROSSREFS
Column 1 is A000217(n+1)
Column 2 is A000537(n+1)
Row 1 is A223718
Row 2 is A223919
Sequence in context: A283439 A134693 A096948 * A223918 A224190 A223815
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 02 2013
STATUS
approved