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R. H. Hardin, <a href="/A224059/b224059.txt">Table of n, a(n) for n = 1..210</a>
allocated for R. H. Hardin
Number of nX3 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
50, 984, 8854, 58814, 324702, 1557606, 6643979, 25596389, 90177585, 293585050, 891208427, 2542007013, 6857916671, 17598839738, 43168340844, 101638636169, 230538577645, 505352928460, 1073534755140, 2215475595868, 4451276849868
1,1
Column 3 of A224064
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
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
allocated
nonn
R. H. Hardin Mar 30 2013
approved
editing
allocated for R. H. Hardin
allocated
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