A187030 - OEIS

A187030

Number of 5-step one or two collinear space at a time queen's tours on an n X n board summed over all starting positions

0, 0, 5120, 45152, 161256, 376248, 696992, 1121176, 1647008, 2273384, 3000304, 3827768, 4755776, 5784328, 6913424, 8143064, 9473248, 10903976, 12435248

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Row 5 of A187027

LINKS

Table of n, a(n) for n=1..19.

FORMULA

Empirical: a(n) = 50272*n^2 - 328792*n + 534104 for n>7

EXAMPLE

Some solutions for 4X4

..0..0..0..0....0..5..0..0....0..0..4..0....0..0..0..0....0..0..0..0

..0..5..0..0....0..0..0..1....0..3..0..5....1..2..0..3....0..3..5..4

..0..1..2..0....0..4..3..0....0..2..0..0....5..0..0..0....0..0..2..0

..0..4..3..0....0..2..0..0....1..0..0..0....0..4..0..0....0..0..0..1

CROSSREFS

Sequence in context: A258729 A259425 A195653 * A237328 A186968 A195648

Adjacent sequences: A187027 A187028 A187029 * A187031 A187032 A187033

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 02 2011

STATUS

approved