A224259 Number of nX5 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

86, 1600, 12032, 59855, 238366, 816361, 2485967, 6868203, 17467782, 41364960, 92057680, 194025959, 389786452, 750442433, 1391017095, 2492190125, 4330442992, 7319061332, 12062947260, 19430764421, 30648578146, 47419866241, 72077566743

Offset

1,1

Comments

Column 5 of A224262

Links

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

Formula

Empirical: a(n) = (1009/907200)*n^10 + (1489/181440)*n^9 + (6571/60480)*n^8 + (18937/30240)*n^7 + (148447/43200)*n^6 + (74281/8640)*n^5 + (10535767/181440)*n^4 + (1477907/45360)*n^3 + (1282339/25200)*n^2 - (151027/252)*n + 913 for n>4

Example

Some solutions for n=3
..0..0..1..1..0....0..1..1..1..1....0..0..0..0..2....1..0..0..0..0
..0..0..1..1..1....1..2..1..1..1....0..0..0..1..2....1..1..0..0..0
..0..1..2..1..1....2..2..2..2..1....0..0..1..2..2....2..1..0..0..0

Crossrefs

Sequence in context: A206615 A242092 A232859 * A223915 A224187 A223930

Adjacent sequences: A224256 A224257 A224258 * A224260 A224261 A224262

Keyword

nonn

Author

R. H. Hardin Apr 02 2013

Status

approved