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.

4, 19, 54, 124, 250, 14795, 309990, 2853292, 14125312, 46481352, 116171792, 240747928, 438003360, 725775144, 1121905200, 1644235704, 2310608832, 3138866760, 4146851664, 5352405720, 6773371104, 8427589992, 10332904560

Offset: 1

Author

R. H. Hardin, Dec 25 2014

Keywords

• nonn

Comments

Column 5 of A253011

Examples

			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
		

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