login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A187159 Number of 6-step one space at a time bishop's tours on an n X n board summed over all starting positions. 1
0, 0, 0, 56, 456, 1588, 3288, 5556, 8392, 11796, 15768, 20308, 25416, 31092, 37336, 44148, 51528, 59476, 67992, 77076, 86728, 96948, 107736, 119092, 131016, 143508, 156568, 170196, 184392, 199156, 214488, 230388, 246856, 263892, 281496, 299668 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row 6 of A187155.

LINKS

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

FORMULA

Empirical: a(n) = 284*n^2 - 1992*n + 3316 for n>4.

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

G.f.: 4*x^4*(14 + 72*x + 97*x^2 - 41*x^3) / (1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>7.

(End)

EXAMPLE

Some solutions for 4 X 4:

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

..4..0..2..0....0..1..0..3....0..4..0..6....0..5..0..3....2..0..4..0

..0..5..0..1....6..0..4..0....3..0..1..0....6..0..2..0....0..1..0..5

..0..0..6..0....0..5..0..0....0..2..0..0....0..1..0..0....0..0..6..0

CROSSREFS

Cf. A187155.

Sequence in context: A287702 A008447 A076647 * A220048 A257707 A067234

Adjacent sequences:  A187156 A187157 A187158 * A187160 A187161 A187162

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified July 19 17:03 EDT 2018. Contains 312779 sequences. (Running on oeis4.)