A271524 Decimal expansion of the imaginary part of the Dirichlet function eta(z), at z=i, the imaginary unit.

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

Offset

0,1

Comments

The corresponding real part of eta(i) is in A271523.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Eric Weisstein's World of Mathematics, Dirichlet Eta Function

Formula

Equals imag(eta(i)).

Example

0.229384857728525892457886733558081938225195415266121034625072393...

Mathematica

First[RealDigits[Im[(1 - 2^(1 - I))*Zeta[I]], 10, 110]] (* Robert Price, Apr 09 2016 *)

Prog

(PARI) \\ The Dirichlet eta function (fails for z=1):
direta(z)=(1-2^(1-z))*zeta(z);
imag(direta(I))\\ Evaluation

Crossrefs

Cf. A002162 (eta(1)), A179311 (real(zeta(i))), A179836 (imag(-zeta(i))), A271523 (real(eta(i))), A271525 (real(eta'(i))), A271526(-imag(eta'(i))).

Sequence in context: A113554 A085846 A021440 * A157216 A020776 A021002

Adjacent sequences: A271521 A271522 A271523 * A271525 A271526 A271527

Keyword

nonn,cons

Author

Stanislav Sykora, Apr 09 2016

Status

approved