A145435 Decimal expansion of log(1/2 + 1/sqrt(2))/sqrt(5).

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

Offset: 0

Author

R. J. Mathar, Feb 08 2009

Keywords

• cons
• easy
• nonn

Comments

This is an erroneous version of A086466 produced by the Apelblat formula, which contains two typos.

Examples

			0.084177408000833203035548695384667267885531840399884582887759..
		

References

• Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.42.

Links

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

Crossrefs

Cf. A014176, A020762.

Programs

Magma

SetDefaultRealField(RealField(100)); 1/5*Log(1/2+1/2*2^(1/2))*5^(1/2); // G. C. Greubel, Oct 02 2018

Maple

1/5*ln(1/2+1/2*2^(1/2))*5^(1/2) ;

Mathematica

Join[{0},RealDigits[Log[1/2+1/Sqrt[2] ]/Sqrt[5],10,120][[1]]] (* Harvey P. Dale, May 24 2016 *)

PARI

default(realprecision, 100); 1/5*log(1/2+1/2*2^(1/2))*5^(1/2) \\ G. C. Greubel, Oct 02 2018

Formula

Equals log(A014176/2)*A020762.

Extensions

Uncovered Apelblat errors. - R. J. Mathar, Mar 04 2009