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A223725 T(n,k)=Number of nXk 0..2 arrays with rows, antidiagonals and columns unimodal 9
3, 9, 9, 22, 81, 22, 46, 484, 484, 46, 86, 2116, 5883, 2116, 86, 148, 7396, 46613, 46613, 7396, 148, 239, 21904, 273562, 608855, 273562, 21904, 239, 367, 57121, 1285547, 5537147, 5537147, 1285547, 57121, 367, 541, 134689, 5087912, 38566854, 74140718 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

...9.....81.......484........2116..........7396..........21904............57121

..22....484......5883.......46613........273562........1285547..........5087912

..46...2116.....46613......608855.......5537147.......38566854........218619076

..86...7396....273562.....5537147......74140718......733129227.......5733691150

.148..21904...1285547....38566854.....733129227.....9991366555.....105179942478

.239..57121...5087912...218619076....5733691150...105179942478....1461411174370

.367.134689..17557701..1051051942...37151436091...899048082946...16206659678557

.541.292681..54161878..4413826871..206162721823..6467662339564..148957213473086

.771.594441.152154419.16548850432.1004293423046.40225236084575.1167498177877341

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

FORMULA

Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,0,2,5,10

EXAMPLE

Some solutions for n=3 k=4

..2..0..0..0....0..0..2..2....0..1..1..2....0..1..1..0....0..1..2..2

..1..1..1..2....0..1..2..0....0..1..2..1....2..2..1..1....1..1..0..0

..1..2..2..1....0..0..2..0....2..2..2..0....1..2..1..1....0..0..0..0

CROSSREFS

Column 1 is column m=3 of A071920

Sequence in context: A224374 A238323 A223742 * A223831 A223885 A223892

Adjacent sequences:  A223722 A223723 A223724 * A223726 A223727 A223728

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 26 2013

STATUS

approved

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Last modified January 19 23:39 EST 2022. Contains 350467 sequences. (Running on oeis4.)