A248789 Decimal expansion of the variance associated with the fraction of guests without a napkin in Conway’s napkin problem.
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
Examples
0.034763105561026065633697454779470105240123600705...
Links
- Anders Claesson, T. Kyle Petersen, Conway’s napkin problem, arXiv:math/0505080 [math.CO] 2005.
- Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 2.
Programs
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Mathematica
Join[{0}, RealDigits[(3 - E)*(2 - Sqrt[E])^2, 10, 99] // First] -
PARI
(3-exp(1))*(2-exp(1/2))^2 \\ Charles R Greathouse IV, Oct 31 2014
Formula
Equals (3 - e)*(2 - sqrt(e))^2.