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A231902 Decimal expansion of Pi/4 + log(2)/2. 1

%I

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

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

%U 5,0,9,1,2,5,5,6,3,9,9,6,0,7,4,5,9,9,4

%N Decimal expansion of Pi/4 + log(2)/2.

%D L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 28 (formula 154).

%H Ivan Panchenko, <a href="/A231902/b231902.txt">Table of n, a(n) for n = 1..1000</a>

%F Equals 1 + Sum_{m>=1} -(-1)^m/(2m*(2m+1)) = 1 + 1/(2*3) - 1/(4*5) + 1/(6*7) - 1/(8*9) + ...

%e 1.131971753677420964324276906548964005087042417023904082304076152823650...

%t RealDigits[Pi/4 + Log[2]/2, 10, 90][[1]]

%o (PARI) default(realprecision, 100); (Pi + 2*log(2))/4 \\ _G. C. Greubel_, Aug 24 2018

%o (MAGMA) SetDefaultRealField(RealField(100)); R:=RealField(); (Pi(R) + 2*Log(2))/4 // _G. C. Greubel_, Aug 24 2018

%Y Cf. A003881: Pi/4; A016655: 10*(log(2)/2); A006752: Catalan's constant; A072691: Pi^2/12.

%K nonn,cons

%O 1,3

%A _Bruno Berselli_, Nov 15 2013

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Last modified May 26 19:38 EDT 2019. Contains 323597 sequences. (Running on oeis4.)