A252835 Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 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

22, 125, 850, 6211, 42738, 244131, 1056756, 3320837, 7822881, 14827629, 24422839, 36628371, 51446975, 68878827, 88923927, 111582275, 136853871, 164738715, 195236807, 228348147, 264072735, 302410571, 343361655, 386925987, 433103567

Offset

1,1

Comments

Column 7 of A252836

Links

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

Formula

Empirical: a(n) = 1306624*n^2 - 17846996*n + 62638467 for n>11

Example

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

Crossrefs

Sequence in context: A039439 A209736 A209729 * A220622 A229375 A309923

Adjacent sequences: A252832 A252833 A252834 * A252836 A252837 A252838

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved