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Decimal expansion of -Pi/4 + (3*log(2))/2.
1

%I #12 Jun 01 2021 02:15:07

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

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

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

%N Decimal expansion of -Pi/4 + (3*log(2))/2.

%H Jean-Paul Allouche and Jeffrey Shallit, <a href="https://doi.org/10.1007/BFb0097122">Sums of digits and the Hurwitz zeta function</a>, in: K. Nagasaka and E. Fouvry (eds.), Analytic Number Theory, Lecture Notes in Mathematics, Vol. 1434, Springer, Berlin, Heidelberg, 1990, pp. 19-30.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DigitSum.html">Digit Sum</a>.

%F Equals Sum_{k>=1} A014081(k)/(k*(k+1)) (Allouche and Shallit, 1990). - _Amiram Eldar_, Jun 01 2021

%e 0.2543226074...

%t RealDigits[(3*Log[2])/2-Pi/4,10,120][[1]] (* _Harvey P. Dale_, May 28 2018 *)

%Y Cf. A003881, A014081, A262023.

%K nonn,cons,easy

%O 0,1

%A _Eric W. Weisstein_, Oct 31 2004