A253009 Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down

10, 85, 632, 3423, 14795, 54219, 2327062, 43197859, 395069496, 2063349297, 7250116841, 19242081848, 41884052188, 79190458776, 135212633776, 214009464108, 319640931500, 456167117868, 627648109484, 838143992620

Offset

1,1

Comments

Column 6 of A253011

Links

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

Formula

Empirical: a(n) = (2030043136/3)*n^3 - 19063373824*n^2 + (545623168640/3)*n - 587442631380 for n>15

Example

Some solutions for n=6
..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..1
..0..0..0..0..1..1....0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
..0..0..0..0..1..1....0..0..0..1..1..2....0..0..0..1..1..1....0..0..0..0..1..1
..0..1..1..1..1..1....1..1..1..1..1..2....0..1..1..1..2..2....0..0..0..1..1..2
..1..1..1..1..2..2....1..1..1..1..1..2....1..1..1..1..2..2....1..1..1..1..1..2
..1..1..2..2..2..2....1..1..2..2..2..2....1..1..1..1..2..2....2..2..2..2..2..2

Crossrefs

Sequence in context: A345895 A014341 A323970 * A291389 A081903 A346319

Adjacent sequences: A253006 A253007 A253008 * A253010 A253011 A253012

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved