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A187049 Number of 5-step one or two space at a time bishop's tours on an n X n board summed over all starting positions. 1
0, 0, 8, 456, 2896, 9216, 20648, 37472, 59524, 86656, 118868, 156160, 198532, 245984, 298516, 356128, 418820, 486592, 559444, 637376, 720388, 808480, 901652, 999904, 1103236, 1211648, 1325140, 1443712, 1567364, 1696096, 1829908, 1968800, 2112772 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row 5 of A187046.

LINKS

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

FORMULA

Empirical: a(n) = 2540*n^2 - 21128*n + 43936 for n>7.

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

G.f.: 4*x^3*(2 + 108*x + 388*x^2 + 472*x^3 + 308*x^4 + 70*x^5 - 41*x^6 - 37*x^7) / (1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>10.

(End)

EXAMPLE

Some solutions for 4 X 4:

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

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

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

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

CROSSREFS

Cf. A187046.

Sequence in context: A042525 A028449 A209840 * A221157 A015006 A279383

Adjacent sequences:  A187046 A187047 A187048 * A187050 A187051 A187052

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 02 2011

STATUS

approved

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Last modified December 1 02:46 EST 2021. Contains 349426 sequences. (Running on oeis4.)