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A224058
Number of nX2 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
4
16, 160, 984, 4580, 17723, 59792, 180821, 499357, 1276595, 3053471, 6892199, 14784563, 30317821, 59727346, 113515445, 208880837, 373286086, 649594326, 1103335758, 1832822970, 2983026931, 4764357840, 7477772697, 11547960881
OFFSET
1,1
COMMENTS
Column 2 of A224064
LINKS
FORMULA
Empirical: a(n) = (1/19160064)*n^12 + (1/456192)*n^11 + (2287/43545600)*n^10 + (215/290304)*n^9 + (2861/414720)*n^8 + (7187/161280)*n^7 + (10695901/43545600)*n^6 + (212027/207360)*n^5 + (6072841/2177280)*n^4 + (1652783/362880)*n^3 + (1059277/237600)*n^2 + (26023/13860)*n + 1
EXAMPLE
Some solutions for n=3
..3..0....2..3....1..1....0..0....0..0....2..1....0..0....0..3....1..0....0..0
..1..3....3..3....1..2....1..1....2..1....1..3....3..0....1..3....2..2....0..0
..1..1....2..3....2..3....1..2....2..3....0..1....0..3....2..2....1..3....2..0
CROSSREFS
Sequence in context: A180798 A144453 A121036 * A073394 A038846 A079767
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 30 2013
STATUS
approved