The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A239341 Decimal expansion of 7 + 2021/3003. 0
7, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7, 2, 9, 9, 3, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
7, then repeat 6,7,2,9,9,3.
A motorcycle whose fuel tank has a capacity of 1 unit of fuel can travel halfway across a desert on one full tank of fuel, and it can establish its own refueling stations at any locations along the way. At any refueling station, fuel can be transferred from the motorcycle's fuel tank to or from storage at the refueling station. The rider of the motorcycle has an unlimited supply of fuel at the starting point. No fuel can be carried by the motorcycle other than the fuel in its fuel tank. The constant can be interpreted as the minimum total number of tankfuls of fuel needed to cross the desert.
Let x be the distance that the motorcycle can travel given one tankful of fuel; the width of the desert is then 2*x. The maximum desert width that can be crossed given y tankfuls of fuel is f(y) = (1 + 1/3 + 1/5 + ... + 1/(2*k-1) + (y-k)/(2*k + 1))*x where k = floor(y). Since f(7) < 2*x < f(8), crossing a desert of width 2*x requires y tankfuls of fuel where floor(y) = 7. Solving (1 + 1/3 + 1/5 + ... + 1/(2*7-1) + (y-7)/(2*7 + 1))*x = 2*x for y gives y = 7 + 15*(2 - (1 + 1/3 + 1/5 + ... + 1/13)) = 23042/3003 = 7.672993672993... - Jon E. Schoenfield, Feb 27 2020
LINKS
Eric Weisstein's World of Mathematics, Jeep Problem
Wikipedia, Jeep problem
EXAMPLE
7.672993672993672993672993672993672993672993672993672993672993672993672...
MATHEMATICA
Join[{7}, Flatten[Table[{6, 7, 2, 9, 9, 3}, {17}]]]
Join[{7}, PadRight[{}, 104, {6, 7, 2, 9, 9, 3}]]
PROG
(Magma) [7] cat &cat[[6, 7, 2, 9, 9, 3]: n in [1..17]];
CROSSREFS
Sequence in context: A247314 A257395 A197687 * A239606 A291423 A276792
KEYWORD
nonn,cons,easy
AUTHOR
EXTENSIONS
Comments section edited by Jon E. Schoenfield, Feb 27 2020
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 June 14 12:37 EDT 2024. Contains 373400 sequences. (Running on oeis4.)