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

Author

Jean-François Alcover, Oct 14 2014

Keywords

• nonn
• cons
• easy

Examples

			0.12339674565853264796568432009600821114214269085936752866665...
		

Links

• 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.

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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