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A223918 T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 13
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 (list; table; graph; refs; listen; history; text; internal format)
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....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

LINKS

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

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

EXAMPLE

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

CROSSREFS

Column 1 is A000217(n+1)

Column 2 is A000537(n+1)

Row 1 is A223718

Sequence in context: A134693 A096948 A224262 * A224190 A223815 A275414

Adjacent sequences:  A223915 A223916 A223917 * A223919 A223920 A223921

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved

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Last modified May 28 01:48 EDT 2020. Contains 334671 sequences. (Running on oeis4.)