A224190 T(n,k) = Number of n X k 0..2 arrays with rows unimodal and columns nondecreasing.

3, 9, 6, 22, 36, 10, 46, 158, 100, 15, 86, 548, 684, 225, 21, 148, 1600, 3526, 2205, 441, 28, 239, 4102, 14751, 15779, 5852, 784, 36, 367, 9503, 52591, 89380, 55438, 13524, 1296, 45, 541, 20299, 165212, 422488, 408222, 163746, 28176, 2025, 55, 771, 40570

Offset

1,1

Comments

Table starts

..3....9.....22......46.......86........148.........239..........367

..6...36....158.....548.....1600.......4102........9503........20299

.10..100....684....3526....14751......52591......165212.......468292

.15..225...2205...15779....89380.....422488.....1727738......6272940

.21..441...5852...55438...408222....2469182....12741432.....57644194

.28..784..13524..163746..1519738...11444292....72710554....400958714

.36.1296..28176..424326..4844576...44435746...340780382...2249643632

.45.2025..54153..992607.13669953..150015321..1366188661..10635858679

.55.3025..97570.2138488.34953776..452158538..4823267213..43724068755

.66.4356.166738.4305730.82399174.1240740774.15322738603.159999462711

Links

R. H. Hardin, Table of n, a(n) for n = 1..722

Formula

Empirical: columns k=1..7 are polynomials of degree 2*k.

Empirical: rows n=1..7 are polynomials of degree 4*n.

Example

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

Crossrefs

Column 1 is A000217(n+1).

Column 2 is A000537(n+1).

Row 1 is A223718.

Row 2 is A223919.

Row 3 is A223865.

Sequence in context: A096948 A224262 A223918 * A223815 A275414 A223309

Adjacent sequences: A224187 A224188 A224189 * A224191 A224192 A224193

Keyword

nonn,tabl

Author

R. H. Hardin Apr 01 2013

Status

approved