A187863 Number of 8-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions

0, 0, 1008, 61668, 636102, 2432312, 6343874, 12918800, 22675997, 35694138, 52156394, 71825663, 94825088, 120967427, 150298947, 182782127, 218416967, 257203467, 299141627, 344231447, 392472927, 443866067, 498410867, 556107327

Offset

1,3

Comments

Row 8 of A187857

Links

R. H. Hardin, Table of n, a(n) for n = 1..50

Formula

Empirical: a(n) = 1575830*n^2 - 16367550*n + 41250447 for n>13

Example

Some solutions for 4X4
..0..7..0..0....0..7..0..0....0..0..0..3....5..0..0..0....0..0..5..0
..1..6..0..0....1..6..2..0....7..1..0..2....4..0..7..0....8..0..4..0
..3..5..4..8....8..5..4..0....0..6..5..4....0..3..6..0....7..6..0..3
..2..0..0..0....0..0..3..0....8..0..0..0....0..8..2..1....0..2..1..0

Crossrefs

Sequence in context: A092924 A331770 A290286 * A280869 A145235 A210759

Adjacent sequences: A187860 A187861 A187862 * A187864 A187865 A187866

Keyword

nonn

Author

R. H. Hardin Mar 14 2011

Status

approved