A020805 Decimal expansion of 1/sqrt(48).

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, 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, 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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

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

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

Examples

			0.1443375672974...
		

References

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

Links

• Ivan Panchenko, Table of n, a(n) for n = 0..1000
• Steven Finch, Integer Partitions, September 22, 2004. [Cached copy, with permission of the author]

Programs

Mathematica

RealDigits[1/Sqrt[48], 10, 100][[1]] (* Alonso del Arte, May 19 2011 *)

PARI

sqrt(1/48)