A187865 Number of 10-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, 0, 219008, 6387404, 38766870, 133665550, 327612556, 658127610, 1150253908, 1821396586, 2678117739, 3721029612, 4946379865, 6353213493, 7935533922, 9694577705, 11627337878, 13734354068, 16015165378, 18469771808, 21098173358

Offset

1,4

Comments

Row 10 of A187857

Links

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

Formula

Empirical: a(n) = 86897560*n^2 - 1108193530*n + 3420011978 for n>17

Example

Some solutions for 4X4
..0..9..0..0....9..8..3..2....0..9..8..5....0..0..6..0....0..1.10..2
..7..3..8..0....0..7..0..1....0..4..1..7....4..1..5..8....9..4..0..0
..0..6..2.10...10..4..6..5...10..3..0..6....3..7..0.10....0..8..3..0
..1..0..5..4....0..0..0..0....0..0..2..0....0..2..0..9....5..7..6..0

Crossrefs

Sequence in context: A236040 A251480 A072189 * A201227 A185531 A258678

Adjacent sequences: A187862 A187863 A187864 * A187866 A187867 A187868

Keyword

nonn

Author

R. H. Hardin Mar 14 2011

Status

approved