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A187050 Number of 6-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, 0, 584, 6952, 29500, 79088, 162320, 281320, 435436, 623508, 845084, 1100164, 1388748, 1710836, 2066428, 2455524, 2878124, 3334228, 3823836, 4346948, 4903564, 5493684, 6117308, 6774436, 7465068, 8189204, 8946844, 9737988, 10562636 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row 6 of A187046.

LINKS

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

FORMULA

Empirical: a(n) = 16752*n^2 - 163720*n + 397436 for n>9.

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

G.f.: 4*x^3*(146 + 1300*x + 2599*x^2 + 2715*x^3 + 1651*x^4 + 531*x^5 - 163*x^6 - 290*x^7 - 113*x^8) / (1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>12.

(End)

EXAMPLE

Some solutions for 4 X 4:

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

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

..1..0..4..0....0..6..0..2....6..0..2..0....0..0..4..0....3..0..6..0

..0..2..0..6....0..0..1..0....0..0..0..0....0..6..0..0....0..2..0..0

CROSSREFS

Cf. A187046.

Sequence in context: A236491 A235433 A205069 * A252195 A037995 A250627

Adjacent sequences:  A187047 A187048 A187049 * A187051 A187052 A187053

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 02 2011

STATUS

approved

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Last modified January 19 08:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)