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%I #15 Sep 08 2022 08:45:38
%S 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,
%T 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,
%U 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
%N Decimal expansion of log(1/2 + 1/sqrt(2))/sqrt(5).
%C This is an erroneous version of A086466 produced by the Apelblat formula, which contains two typos.
%D Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.42.
%H G. C. Greubel, <a href="/A145435/b145435.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals log(A014176/2)*A020762.
%e 0.084177408000833203035548695384667267885531840399884582887759..
%p 1/5*ln(1/2+1/2*2^(1/2))*5^(1/2) ;
%t Join[{0},RealDigits[Log[1/2+1/Sqrt[2] ]/Sqrt[5],10,120][[1]]] (* _Harvey P. Dale_, May 24 2016 *)
%o (PARI) default(realprecision, 100); 1/5*log(1/2+1/2*2^(1/2))*5^(1/2) \\ _G. C. Greubel_, Oct 02 2018
%o (Magma) SetDefaultRealField(RealField(100)); 1/5*Log(1/2+1/2*2^(1/2))*5^(1/2); // _G. C. Greubel_, Oct 02 2018
%Y Cf. A014176, A020762.
%K cons,easy,nonn
%O 0,2
%A _R. J. Mathar_, Feb 08 2009
%E Uncovered Apelblat errors. - _R. J. Mathar_, Mar 04 2009
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