A193373 Decimal expansion of Pi/(2 + sqrt(2)).

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

Offset: 0

Author

M. F. Hasler, Jul 24 2011

Keywords

• nonn
• cons

Examples

			0.92015118451061011495470288824915603488985855468726...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers

Crossrefs

Cf. A193355.

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)/(2 + Sqrt(2)); // G. C. Greubel, Sep 29 2018

Maple

evalf(Pi/(2+sqrt(2)),120); # Muniru A Asiru, Sep 30 2018

Mathematica

RealDigits[Pi/(2 + Sqrt[2]), 10, 100][[1]] (* G. C. Greubel, Sep 29 2018 *)

PARI

default(realprecision, 99); vecextract(eval(Vec(Str(Pi/(2+sqrt(2))))),"3..")

Formula

From Amiram Eldar, May 08 2021: (Start)

Equals Integral_{x>=0} log(1 + 1/(1 + 2*x^2)) dx.

Equals Integral_{x=0..Pi} 1/(1 + csc(x)^2) dx. (End)

Equals A000796 - A247719 = A000796*A268682. - R. J. Mathar, Jul 22 2025