A224394 Number of 5Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

1024, 100000, 1268572, 8573507, 45648753, 211856287, 882833522, 3343528551, 11604617405, 37199618077, 110964317169, 310166468938, 817551602005, 2043560704475, 4868244723248, 11101332102787, 24326305539913

Offset

1,1

Comments

Row 5 of A224391

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (1834741/3113510400)*n^13 + (1653961/239500800)*n^12 + (15881209/239500800)*n^11 + (3185767/4354560)*n^10 + (6331231/21772800)*n^9 + (8051546371/152409600)*n^8 - (92949613/680400)*n^7 + (29776075747/21772800)*n^6 - (235108166129/119750400)*n^5 + (1142919607439/59875200)*n^4 - (2395878032771/43243200)*n^3 + (4577919285997/37837800)*n^2 - (3999067013/10010)*n + 824171 for n>7

Example

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

Crossrefs

Sequence in context: A236216 A264002 A016961 * A224027 A174155 A269205

Adjacent sequences: A224391 A224392 A224393 * A224395 A224396 A224397

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved