A248788 Decimal expansion of (2-sqrt(e))^2, the mean fraction of guests without a napkin in Conway’s napkin problem.

1, 2, 3, 3, 9, 6, 7, 4, 5, 6, 5, 8, 5, 3, 2, 6, 4, 7, 9, 6, 5, 6, 8, 4, 3, 2, 0, 0, 9, 6, 0, 0, 8, 2, 1, 1, 1, 4, 2, 1, 4, 2, 6, 9, 0, 8, 5, 9, 3, 6, 7, 5, 2, 8, 6, 6, 6, 6, 5, 0, 3, 8, 1, 1, 6, 1, 4, 3, 2, 5, 4, 5, 5, 7, 6, 6, 8, 5, 1, 6, 0, 0, 4, 0, 2, 7, 6, 0, 9, 8, 2, 9, 9, 6, 9, 9, 8, 5, 5, 4

Offset

0,2

Links

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

Anders Claesson and T. Kyle Petersen, Conway's napkin problem, arXiv:math/0505080 [math.CO], 2005.

Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, p. 2.

Formula

Equals lim_{n->oo} A341232(n)/A341233(n). - Pontus von Brömssen, Feb 08 2021

Example

0.12339674565853264796568432009600821114214269085936752866665...

Mathematica

RealDigits[(2 - Sqrt[E])^2, 10, 100] // First

Prog

(PARI) (2-exp(1/2))^2 \\ Charles R Greathouse IV, Oct 31 2014

Crossrefs

Cf. A000670, A068996, A248789, A341232, A341233.

Sequence in context: A210226 A209163 A124932 * A340914 A194232 A110042

Adjacent sequences: A248785 A248786 A248787 * A248789 A248790 A248791

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 14 2014

Status

approved