A219854 Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 3Xn array

10, 16, 65, 218, 591, 1437, 3195, 6668, 13220, 25152, 46236, 82543, 143663, 244470, 407620, 667007, 1072451, 1695946, 2639856, 4047513, 6116743, 9116924, 13410264, 19478077, 27952931, 39657644, 55652212, 77289867, 106283583, 144784474

Offset

1,1

Comments

Row 3 of A219852

Links

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

Formula

Empirical: a(n) = (1/60480)*n^9 - (1/1344)*n^8 + (29/1120)*n^7 - (55/96)*n^6 + (25781/2880)*n^5 - (17063/192)*n^4 + (4202323/7560)*n^3 - (653875/336)*n^2 + (1225837/420)*n + 91 for n>9

Example

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

Crossrefs

Sequence in context: A335675 A033460 A056848 * A167331 A255531 A157159

Adjacent sequences: A219851 A219852 A219853 * A219855 A219856 A219857

Keyword

nonn

Author

R. H. Hardin Nov 29 2012

Status

approved