OFFSET
0,1
COMMENTS
This value arises naturally by taking the ratio of the volume of a unit 2n-dimensional ball to the volume of the 2n-dimensional cube containing it (with side length 2) and summing over all n.
LINKS
Greg Egan, Puzzle in which this value arises naturally
Grant Sanderson and Brady Haran, Darts in Higher Dimensions, Numberphile video (2019)
MATHEMATICA
ContinuedFraction[Exp[Pi/4], 100]
PROG
(PARI) contfrac(exp(Pi/4)) \\ Felix Fröhlich, Aug 28 2019
CROSSREFS
KEYWORD
nonn,cofr,easy
AUTHOR
Grant T Sanderson, Aug 28 2019
STATUS
approved