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

0,2

Comments

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

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

Formula

Equals log(A014176/2)*A020762.

Example

0.084177408000833203035548695384667267885531840399884582887759..

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 *)

Prog

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

Crossrefs

Cf. A014176, A020762.

Sequence in context: A343739 A021547 A154527 * A379709 A197477 A133839

Adjacent sequences: A145432 A145433 A145434 * A145436 A145437 A145438

Keyword

cons,easy,nonn

Author

R. J. Mathar, Feb 08 2009

Extensions

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

Status

approved