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A248789
Decimal expansion of the variance associated with the fraction of guests without a napkin in Conway’s napkin problem.
1
0, 3, 4, 7, 6, 3, 1, 0, 5, 5, 6, 1, 0, 2, 6, 0, 6, 5, 6, 3, 3, 6, 9, 7, 4, 5, 4, 7, 7, 9, 4, 7, 0, 1, 0, 5, 2, 4, 0, 1, 2, 3, 6, 0, 0, 7, 0, 5, 0, 8, 5, 1, 8, 9, 1, 3, 5, 5, 5, 3, 1, 4, 1, 2, 0, 9, 1, 6, 4, 0, 1, 7, 1, 0, 3, 6, 6, 2, 4, 3, 0, 3, 7, 5, 2, 0, 2, 4, 2, 1, 2, 4, 9, 1, 2, 5, 6, 2, 7, 3
OFFSET
0,2
LINKS
Anders Claesson, T. Kyle Petersen, Conway’s napkin problem, arXiv:math/0505080 [math.CO] 2005.
FORMULA
Equals (3 - e)*(2 - sqrt(e))^2.
EXAMPLE
0.034763105561026065633697454779470105240123600705...
MATHEMATICA
Join[{0}, RealDigits[(3 - E)*(2 - Sqrt[E])^2, 10, 99] // First]
PROG
(PARI) (3-exp(1))*(2-exp(1/2))^2 \\ Charles R Greathouse IV, Oct 31 2014
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved