A224015 Number of 5 X n 0..2 arrays with rows nondecreasing and antidiagonals unimodal.

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

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

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

Adjacent sequences: A224012 A224013 A224014 * A224016 A224017 A224018

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved