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A253008 Number of nX5 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 1
4, 19, 54, 124, 250, 14795, 309990, 2853292, 14125312, 46481352, 116171792, 240747928, 438003360, 725775144, 1121905200, 1644235704, 2310608832, 3138866760, 4146851664, 5352405720, 6773371104, 8427589992, 10332904560 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A253011

LINKS

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

FORMULA

Empirical: a(n) = 2973696*n^3 - 70716096*n^2 + 570494664*n - 1560617160 for n>12

EXAMPLE

Some solutions for n=6

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..1..1..1..1

..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..1..1..2

..1..1..1..1..1....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2

..1..1..1..1..2....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2

..1..2..2..2..2....0..0..1..2..2....0..1..1..1..2....1..1..1..1..2

..1..2..2..2..2....0..0..1..2..2....1..1..1..1..2....1..1..1..1..2

CROSSREFS

Sequence in context: A171354 A159833 A166808 * A186310 A122684 A122681

Adjacent sequences:  A253005 A253006 A253007 * A253009 A253010 A253011

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 25 2014

STATUS

approved

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Last modified June 25 10:10 EDT 2019. Contains 324351 sequences. (Running on oeis4.)