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

0,2

Links

Table of n, a(n) for n=0..99.

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.

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

Cf. A000670, A068996, A248788.

Sequence in context: A323394 A348977 A017665 * A105852 A190998 A067342

Adjacent sequences: A248786 A248787 A248788 * A248790 A248791 A248792

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 14 2014

Status

approved