A224262 T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

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

R. H. Hardin, Table of n, a(n) for n = 1..241

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

Adjacent sequences: A224259 A224260 A224261 * A224263 A224264 A224265

Keyword

nonn,tabl

Author

R. H. Hardin Apr 02 2013

Status

approved