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A224059 Number of nX3 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 1
50, 984, 8854, 58814, 324702, 1557606, 6643979, 25596389, 90177585, 293585050, 891208427, 2542007013, 6857916671, 17598839738, 43168340844, 101638636169, 230538577645, 505352928460, 1073534755140, 2215475595868, 4451276849868 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A224064

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (1/3629463552000)*n^18 + (1/80654745600)*n^17 + (673/1307674368000)*n^16 + (3163/237758976000)*n^15 + (208801/747242496000)*n^14 + (625841/149448499200)*n^13 + (1696897/28740096000)*n^12 + (14064731/28740096000)*n^11 + (339240647/73156608000)*n^10 + (339530671/14631321600)*n^9 + (4767368563/28740096000)*n^8 + (637757023/1026432000)*n^7 + (26329719541/10378368000)*n^6 + (2426824577/339655680)*n^5 + (343572662101/18162144000)*n^4 - (189957341011/9081072000)*n^3 + (1627071089/5834400)*n^2 - (2276993179/3063060)*n + 701 for n>3

EXAMPLE

Some solutions for n=3

..3..0..0....0..0..0....0..0..2....2..2..1....1..1..0....1..1..1....2..0..0

..3..3..1....1..1..0....1..1..2....1..2..3....1..1..1....0..1..3....1..3..2

..0..3..3....1..2..3....1..1..3....0..2..3....0..1..2....0..1..3....1..1..3

CROSSREFS

Sequence in context: A101929 A006360 A324217 * A224045 A224276 A224199

Adjacent sequences:  A224056 A224057 A224058 * A224060 A224061 A224062

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

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Last modified July 1 03:30 EDT 2022. Contains 354947 sequences. (Running on oeis4.)