A100046 Decimal expansion of -Pi/4 + (3*log(2))/2.

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..101.

Jean-Paul Allouche and Jeffrey Shallit, Sums of digits and the Hurwitz zeta function, in: K. Nagasaka and E. Fouvry (eds.), Analytic Number Theory, Lecture Notes in Mathematics, Vol. 1434, Springer, Berlin, Heidelberg, 1990, pp. 19-30.

Eric Weisstein's World of Mathematics, Digit Sum.

Formula

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

Example

0.2543226074...

Mathematica

RealDigits[(3*Log[2])/2-Pi/4, 10, 120][[1]] (* Harvey P. Dale, May 28 2018 *)

Crossrefs

Cf. A003881, A014081, A262023.

Sequence in context: A160826 A057149 A087499 * A025504 A272693 A184832

Adjacent sequences: A100043 A100044 A100045 * A100047 A100048 A100049

Keyword

nonn,cons,easy

Author

Eric W. Weisstein, Oct 31 2004

Status

approved