A224027 Number of 5Xn 0..3 arrays with rows nondecreasing and antidiagonals unimodal

1024, 100000, 1859020, 17735200, 120352359, 646270418, 2903448338, 11324147154, 39352493380, 124192808325, 361131166470, 978546580876, 2493201619797, 6016880535375, 13837190690133, 30477772502130, 64570854690796

Offset

1,1

Comments

Row 5 of A224024

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (781507/10897286400)*n^14 + (732989/444787200)*n^13 + (6062213/239500800)*n^12 + (4527293/15966720)*n^11 + (49818529/21772800)*n^10 + (300432343/21772800)*n^9 + (9176781683/152409600)*n^8 + (2072451091/10886400)*n^7 + (1971136933/4354560)*n^6 + (16020797923/19958400)*n^5 + (55454431657/59875200)*n^4 - (688455589/2402400)*n^3 - (18610604083/37837800)*n^2 + (69728249/15015)*n + 2530 for n>3

Example

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

Crossrefs

Sequence in context: A264002 A016961 A224394 * A174155 A269205 A224284

Adjacent sequences: A224024 A224025 A224026 * A224028 A224029 A224030

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved