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 A020805 Decimal expansion of 1/sqrt(48). 3

%I

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

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

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

%N Decimal expansion of 1/sqrt(48).

%C Or 1/(4 sqrt(3)), which should look familiar to anyone who has studied Ramanujan's approximation for the partition numbers (see Conway and Guy). - _Alonso del Arte_, May 19 2011

%C This constant is the ratio of the area (A) to the perimeter (P) of an equilateral triangle with unit side, A/P = 1/(4 sqrt(3)). - _José de Jesús Camacho Medina_, Feb 09 2018

%D J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 95.

%H Ivan Panchenko, <a href="/A020805/b020805.txt">Table of n, a(n) for n = 0..1000</a>

%H Steven Finch, <a href="/A000219/a000219_1.pdf">Integer Partitions</a>, September 22, 2004. [Cached copy, with permission of the author]

%e 0.1443375672974...

%t RealDigits[1/Sqrt[48], 10, 100][[1]] (* _Alonso del Arte_, May 19 2011 *)

%o (PARI) sqrt(1/48)

%K nonn,cons,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified September 20 09:44 EDT 2021. Contains 347583 sequences. (Running on oeis4.)