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A224394
Number of 5Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing
1
1024, 100000, 1268572, 8573507, 45648753, 211856287, 882833522, 3343528551, 11604617405, 37199618077, 110964317169, 310166468938, 817551602005, 2043560704475, 4868244723248, 11101332102787, 24326305539913
OFFSET
1,1
COMMENTS
Row 5 of A224391
LINKS
FORMULA
Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (1834741/3113510400)*n^13 + (1653961/239500800)*n^12 + (15881209/239500800)*n^11 + (3185767/4354560)*n^10 + (6331231/21772800)*n^9 + (8051546371/152409600)*n^8 - (92949613/680400)*n^7 + (29776075747/21772800)*n^6 - (235108166129/119750400)*n^5 + (1142919607439/59875200)*n^4 - (2395878032771/43243200)*n^3 + (4577919285997/37837800)*n^2 - (3999067013/10010)*n + 824171 for n>7
EXAMPLE
Some solutions for n=3
..0..0..0....0..0..2....0..0..2....0..0..2....0..0..2....0..2..2....0..2..2
..2..2..3....1..2..2....1..2..2....0..2..2....1..2..3....1..2..3....1..2..3
..2..2..2....1..1..2....1..2..2....0..2..3....2..3..3....1..2..3....0..2..2
..1..2..2....0..2..2....0..2..3....0..2..2....2..3..3....1..1..2....0..2..3
..1..1..2....1..3..3....2..2..2....1..3..3....2..3..3....0..1..3....0..2..3
CROSSREFS
Sequence in context: A236216 A264002 A016961 * A224027 A174155 A269205
KEYWORD
nonn
AUTHOR
R. H. Hardin Apr 05 2013
STATUS
approved