A255728 Decimal expansion of the imaginary part (negated) of the limit (2N -> infinity) of Integral_{1..2N} exp(i*Pi*x)*x^(1/x) dx.

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

Offset

0,1

Links

Table of n, a(n) for n=0..102.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 60.

Example

-0.6840003894379321291827444599926611267109914826549994343...

Mathematica

digits = 103; NIntegrate[x^(1/x)*Sin[Pi*x], {x, 1, Infinity}, WorkingPrecision -> 2*digits] - 1/Pi // RealDigits[#, 10, digits]& // First

Crossrefs

Cf. A255727 (real part), A157852.

Sequence in context: A054042 A184084 A346402 * A272488 A100608 A350795

Adjacent sequences: A255725 A255726 A255727 * A255729 A255730 A255731

Keyword

nonn,cons

Author

Jean-François Alcover, Mar 04 2015

Status

approved