A100954 Decimal expansion of 7/2 - sqrt(2)/4.

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

Offset: 1

Author

N. J. A. Sloane, Jan 11 2005

Keywords

• nonn
• cons

Comments

An approximation to Pi, see Blatner. - Robert G. Wilson v, Dec 15 2012

This constant is three plus the ratio of the area (A) to the perimeter (P) of an isosceles right triangle with unit legs, 3 + A/P = 3 + (1/2)/(2 + sqrt(2)). - José de Jesús Camacho Medina, Mar 02 2018

Examples

			3.14644660940672623779957781894757548035758203115576298170583...
		

References

• David Blatner, Spectrums, Our Mind-Boggling Universe from Infinitesimal to Infinity, Walker & Co, USA, 2012.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Programs

Magma

SetDefaultRealField(RealField(100)); (14 - Sqrt(2))/4; // G. C. Greubel, Oct 01 2018

Mathematica

RealDigits[(14 - Sqrt[2])/4, 10, 111][[1]] (* Robert G. Wilson v, Dec 15 2012 *)

PARI

7/2 - sqrt(2)/4 \\ Charles R Greathouse IV, Mar 25 2014

Formula

Equals (14 - sqrt(2))/4 = 3 + 1/J, where J = 2*(2 + sqrt(2)) = A365823. - Wolfdieter Lang, Nov 11 2023