login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A244089 Decimal expansion of sqrt((3+sqrt(13))/2), a constant related to the asymptotic evaluation of the number of self-avoiding rook paths joining opposite corners on a 3 X n chessboard. 1
1, 8, 1, 7, 3, 5, 4, 0, 2, 1, 0, 2, 3, 9, 7, 0, 6, 2, 0, 0, 7, 5, 1, 9, 4, 4, 8, 6, 0, 3, 5, 8, 2, 1, 9, 2, 6, 4, 6, 9, 4, 0, 3, 6, 4, 3, 1, 2, 7, 1, 3, 6, 1, 1, 2, 0, 6, 3, 3, 0, 7, 7, 0, 5, 8, 2, 7, 9, 8, 9, 9, 4, 3, 8, 6, 8, 3, 6, 5, 6, 9, 3, 6, 7, 8, 1, 9, 2, 0, 1, 7, 8, 1, 0, 0, 6, 2, 6, 7, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.10.2 Rook paths on a chessboard, p. 334.
LINKS
FORMULA
Asymptotic number of paths = p(k) ~ (1/2+2/sqrt(13)) * sqrt((3+sqrt(13))/2)^(2k), where k = n-1.
EXAMPLE
1.8173540210239706200751944860358219264694...
MATHEMATICA
RealDigits[Sqrt[(3 + Sqrt[13])/2], 10, 100] // First
CROSSREFS
Sequence in context: A182551 A005486 A010157 * A195489 A245280 A200585
KEYWORD
nonn,cons,walk
AUTHOR
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)