A224017 Number of 7Xn 0..2 arrays with rows nondecreasing and antidiagonals unimodal

2187, 279936, 4549684, 32148473, 157347899, 630339756, 2200064042, 6905100668, 19884396658, 53273320570, 134149069532, 319991143494, 727540081476, 1584708043525, 3320910477511, 6719637130491, 13169292526095, 25065634112639

Offset

1,1

Comments

Row 7 of A224012

Links

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

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (611041/119750400)*n^12 + (20516659/239500800)*n^11 + (983303/907200)*n^10 + (76863193/7257600)*n^9 + (6226908251/76204800)*n^8 + (10267137467/21772800)*n^7 + (44655148529/21772800)*n^6 + (59149317869/10886400)*n^5 + (6745497467/1108800)*n^4 - (150827667029/9979200)*n^3 - (38880748217/10090080)*n^2 + (55017835997/360360)*n + 124353 for n>5

Example

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

Crossrefs

Sequence in context: A232029 A268977 A224358 * A016771 A059979 A224315

Adjacent sequences: A224014 A224015 A224016 * A224018 A224019 A224020

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved