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A248788 Decimal expansion of (2-sqrt(e))^2, the mean fraction of guests without a napkin in Conway’s napkin problem. 3

%I #27 Feb 08 2021 19:56:25

%S 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,

%T 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,

%U 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

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

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

%H Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, arXiv:2001.00578 [math.HO], 2020, p. 2.

%F Equals lim_{n->oo} A341232(n)/A341233(n). - _Pontus von Brömssen_, Feb 08 2021

%e 0.12339674565853264796568432009600821114214269085936752866665...

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

%o (PARI) (2-exp(1/2))^2 \\ _Charles R Greathouse IV_, Oct 31 2014

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

%K nonn,cons,easy

%O 0,2

%A _Jean-François Alcover_, Oct 14 2014

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Last modified April 25 19:23 EDT 2024. Contains 371989 sequences. (Running on oeis4.)