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

Author

R. H. Hardin Apr 01 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

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.

Formula

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

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