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A224015
Number of 5 X n 0..2 arrays with rows nondecreasing and antidiagonals unimodal.
1
243, 7776, 62764, 297859, 1108969, 3516324, 9866389, 25128396, 59129041, 130220738, 271055417, 537353315, 1020817107, 1867650094, 3304497043, 5674041696, 9482969967, 15465546464, 24666658243, 38548857659, 59128689861
OFFSET
1,1
COMMENTS
Row 5 of A224012.
LINKS
FORMULA
Empirical: a(n) = (1009/907200)*n^10 + (913/36288)*n^9 + (20887/60480)*n^8 + (92987/30240)*n^7 + (835267/43200)*n^6 + (125341/1728)*n^5 + (33910279/181440)*n^4 + (8169817/45360)*n^3 + (2581069/25200)*n^2 + (35674/63)*n + 336 for n>3.
EXAMPLE
Some solutions for n=3
..1..2..2....1..1..1....0..1..2....2..2..2....0..2..2....2..2..2....0..1..2
..1..1..1....0..0..0....1..1..2....0..0..1....1..2..2....0..2..2....2..2..2
..1..1..2....0..0..0....0..1..1....0..1..1....0..1..1....1..1..1....0..2..2
..0..0..1....1..1..1....0..1..2....0..1..2....0..0..2....0..1..1....0..0..1
..0..1..2....0..0..1....2..2..2....2..2..2....0..1..2....0..2..2....0..1..1
CROSSREFS
Cf. A224012.
Sequence in context: A223280 A224356 A016769 * A059860 A268975 A223207
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 30 2013
STATUS
approved