A187052 Number of 8-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.

0, 0, 0, 80, 22200, 226864, 961728, 2625640, 5543744, 9907248, 15787528, 23174472, 32030516, 42322492, 54034656, 67163804, 81709936, 97673052, 115053152, 133850236, 154064304, 175695356, 198743392, 223208412, 249090416, 276389404, 305105376, 335238332, 366788272

Offset: 1

Author

R. H. Hardin, Mar 02 2011

Keywords

• nonn

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..35

Crossrefs

Row 8 of A187046.

Formula

Empirical: a(n) = 708492*n^2 - 8834104*n + 27135516 for n>13.