A255727 Decimal expansion of the real part of the limit (2N -> infinity) of Integral_{1..2N} exp(i*Pi*x)*x^(1/x) dx.

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

Offset

-1,1

Links

Table of n, a(n) for n=-1..101.

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

Example

0.070776039311528803539528021830282001365754696203363...

Mathematica

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

Crossrefs

Cf. A255728 (imaginary part), A157852.

Sequence in context: A010503 A335727 A158857 * A341273 A011438 A321022

Adjacent sequences: A255724 A255725 A255726 * A255728 A255729 A255730

Keyword

nonn,cons

Author

Jean-François Alcover, Mar 04 2015

Status

approved