A091474 Decimal expansion of Pi^2 * (2-sqrt(2))/32.

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

Offset: 0

Author

Eric W. Weisstein, Jan 13 2004

Keywords

• nonn
• cons

Examples

			0.18067126259065494279230812898167161533711457101829...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Definite Integral.
• Index entries for transcendental numbers

Crossrefs

Cf. A047621.

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)^2*(2-Sqrt(2))/32; // G. C. Greubel, Oct 01 2018

Mathematica

RealDigits[Pi^2 (2-Sqrt[2])/32,10,120][[1]] (* Harvey P. Dale, Nov 18 2013 *)

PARI

default(realprecision, 100); Pi^2*(2-sqrt(2))/32 \\ G. C. Greubel, Oct 01 2018

Formula

Equals Integral_{t=0..1} t^2 * log(t)/((t^2 - 1)*(t^4 + 1)) dt.

Equals Sum_{k>=1} 1/A047621(k)^2. - Amiram Eldar, Apr 17 2022