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A100954
Decimal expansion of 7/2 - sqrt(2)/4.
1
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
1,1
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
REFERENCES
David Blatner, Spectrums, Our Mind-Boggling Universe from Infinitesimal to Infinity, Walker & Co, USA, 2012.
LINKS
FORMULA
Equals (14 - sqrt(2))/4 = 3 + 1/J, where J = 2*(2 + sqrt(2)) = A365823. - Wolfdieter Lang, Nov 11 2023
EXAMPLE
3.14644660940672623779957781894757548035758203115576298170583...
MATHEMATICA
RealDigits[(14 - Sqrt[2])/4, 10, 111][[1]] (* Robert G. Wilson v, Dec 15 2012 *)
PROG
(PARI) 7/2 - sqrt(2)/4 \\ Charles R Greathouse IV, Mar 25 2014
(Magma) SetDefaultRealField(RealField(100)); (14 - Sqrt(2))/4; // G. C. Greubel, Oct 01 2018
CROSSREFS
Sequence in context: A306804 A199372 A011089 * A071315 A072267 A024934
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Jan 11 2005
STATUS
approved