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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 1
10, 55, 279, 1132, 3072, 3072, 122833, 1486152, 8270017, 27983105, 70187099, 145197755, 263486747, 435539835, 671842779, 982881339, 1379141275, 1871108347, 2469268315, 3184106939, 4026109979, 5005763195, 6133552347, 7419963195 (list; graph; refs; listen; history; text; internal format)
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: A202481 A169720 A024210 * A316109 A188168 A199413

Adjacent sequences:  A252999 A253000 A253001 * A253003 A253004 A253005

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 25 2014

STATUS

approved

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Last modified October 25 11:00 EDT 2021. Contains 348239 sequences. (Running on oeis4.)