Equals (3 - e)*(2 - sqrt(e))^2.

proposed

editing

editing

proposed

allocated for Jean-François Alcover

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

0,2

Anders Claesson, T. Kyle Petersen, <a href="http://arxiv.org/abs/math/0505080">Conway’s napkin problem</a>, arXiv:math/0505080 [math.CO] 2005.

Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf">Errata and Addenda to Mathematical Constants</a>, p. 2.

(3 - e)*(2 - sqrt(e))^2.

0.034763105561026065633697454779470105240123600705...

Join[{0}, RealDigits[(3 - E)*(2 - Sqrt[E])^2, 10, 99] // First]

Cf. A000670, A068996, A248788.

allocated

nonn,cons,easy

Jean-François Alcover, Oct 14 2014

approved

editing

allocated for Jean-François Alcover

allocated

approved