A253002 Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down

10, 55, 279, 1132, 3072, 3072, 122833, 1486152, 8270017, 27983105, 70187099, 145197755, 263486747, 435539835, 671842779, 982881339, 1379141275, 1871108347, 2469268315, 3184106939, 4026109979, 5005763195, 6133552347, 7419963195

Offset

1,1

Comments

Column 6 of A253004

Links

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

Formula

Empirical: a(n) = (5242880/3)*n^3 - 41275392*n^2 + (991610656/3)*n - 897487301 for n>10

Example

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

Crossrefs

Sequence in context: A348663 A169720 A024210 * A357668 A316109 A188168

Adjacent sequences: A252999 A253000 A253001 * A253003 A253004 A253005

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved