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A187158 Number of 5-step one space at a time bishop's tours on an n X n board summed over all starting positions. 1
0, 0, 0, 72, 388, 904, 1620, 2536, 3652, 4968, 6484, 8200, 10116, 12232, 14548, 17064, 19780, 22696, 25812, 29128, 32644, 36360, 40276, 44392, 48708, 53224, 57940, 62856, 67972, 73288, 78804, 84520, 90436, 96552, 102868, 109384, 116100, 123016, 130132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row 5 of A187155.

LINKS

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

FORMULA

Empirical: a(n) = 100*n^2 - 584*n + 808 for n>3.

Conjectures from Colin Barker, Apr 20 2018: (Start)

G.f.: 4*x^4*(18 + 43*x - 11*x^2) / (1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>6.

(End)

EXAMPLE

Some solutions for 4 X 4:

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

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

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

..0..4..0..0....0..0..1..0....0..1..0..0....0..0..0..0....0..0..5..0

CROSSREFS

Cf. A187155.

Sequence in context: A303621 A084479 A084478 * A164377 A156632 A204484

Adjacent sequences:  A187155 A187156 A187157 * A187159 A187160 A187161

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2011

STATUS

approved

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Last modified August 14 04:36 EDT 2018. Contains 313748 sequences. (Running on oeis4.)