A253222 Number of nX7 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 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

15, 81, 504, 3140, 16028, 47698, 47698, 649712, 2913793, 7415837, 14420585, 24015795, 36221327, 51039931, 68471783, 88516883, 111175231, 136446827, 164331671, 194829763, 227941103, 263665691, 302003527, 342954611, 386518943

Offset

1,1

Comments

Column 7 of A253223

Links

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

Formula

Empirical: a(n) = 1306624*n^2 - 20460244*n + 81385043 for n>12

Example

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

Crossrefs

Sequence in context: A266288 A213552 A060581 * A334244 A284900 A065103

Adjacent sequences: A253219 A253220 A253221 * A253223 A253224 A253225

Keyword

nonn

Author

R. H. Hardin, Dec 29 2014

Status

approved