A223918 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, 666, 225, 21, 148, 1600, 3311, 2111, 441, 28, 239, 4102, 13347, 14123, 5548, 784, 36, 367, 9503, 45988, 74040, 48182, 12752, 1296, 45, 541, 20299, 140236, 323394, 319156, 139925, 26494, 2025, 55, 771, 40570

Offset: 1

Author

R. H. Hardin Mar 29 2013

Keywords

• nonn
• tabl

Comments

Table starts

..3....9.....22......46.......86.......148........239.........367..........541

..6...36....158.....548.....1600......4102.......9503.......20299........40570

.10..100....666....3311....13347.....45988.....140236......387671.......988447

.15..225...2111...14123....74040....323394....1226491.....4157102.....12856218

.21..441...5548...48182...319156...1721356....7906972....31947798....116289938

.28..784..12752..139925..1147712...7526024...41334135...196691651....831996762

.36.1296..26494..359344..3588729..28247478..183720802..1022160764...4994941017

.45.2025..50863..837243.10031780..93683295..715114500..4620831232..25961964085

.55.3025..91634.1802306.25574524.280338123.2489822632.18558764134.119279565646

.66.4356.156682.3633256.60357024.769012348.7881608430.67311575302.492221386729

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..480

Crossrefs

Column 1 is A000217(n+1)

Column 2 is A000537(n+1)

Row 1 is A223718

Formula

Empirical: columns k=1..7 are polynomials of degree 2*k for n>0,0,0,1,2,3,4

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