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

Offset

1,4

Comments

Row 8 of A187046

Links

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

Formula

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

Example

Some solutions for 4X4
..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

Crossrefs

Sequence in context: A118493 A265846 A269145 * A159377 A183582 A068273

Adjacent sequences: A187049 A187050 A187051 * A187053 A187054 A187055

Keyword

nonn

Author

R. H. Hardin Mar 02 2011

Status

approved