A252937 Number of nX7 nonnegative integer arrays with upper left 0 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

42, 329, 3016, 30818, 320270, 2952734, 21312696, 113154831, 440052087, 1302939451, 3104860285, 6297578921, 11347942213, 18725672417, 28900783485, 42343299609, 59523244981, 80910643793, 106975520237, 138187898505

Offset

1,1

Comments

Column 7 of A252938

Links

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

Formula

Empirical: a(n) = (235012096/3)*n^3 - 1891478912*n^2 + (46791365972/3)*n - 43861899175 for n>12

Example

Some solutions for n=4
..0..1..1..2..3..3..3....0..1..2..2..3..3..4....0..1..1..2..2..3..3
..1..1..1..2..3..3..3....1..1..2..2..3..4..4....1..1..1..2..2..3..3
..1..2..2..2..3..3..3....1..1..2..2..3..4..4....1..1..2..2..3..3..3
..2..2..2..3..3..3..4....1..2..2..2..3..4..5....2..2..2..2..3..4..4

Crossrefs

Sequence in context: A167654 A095266 A232338 * A033277 A362103 A190533

Adjacent sequences: A252934 A252935 A252936 * A252938 A252939 A252940

Keyword

nonn

Author

R. H. Hardin, Dec 24 2014

Status

approved