A212878 Decimal expansion of the negated imaginary part of i!.

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

Offset: 0

Author

Stanislav Sykora, May 29 2012

Keywords

• nonn
• cons
• easy

Comments

Also the negated real part of Gamma(i).

Examples

			0.15494982830181068512495513048...
		

Crossrefs

Cf. A212877 (real(i!)), A212879 (abs(i!)), A212880 (-arg(i!)), A090986.

Programs

Mathematica

-Gamma[I] // Re // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, May 13 2013 *)

PARI

-imag(I*gamma(I))

Formula

i! = gamma(1+i) = i*gamma(i).

Equals -Integral_{x=0..+oo} exp(-x)*sin(log(x)) dx. - Jianing Song, Sep 27 2023

A212877^2 + A212878^2 = A090986 = Pi/sinh(Pi). - Vaclav Kotesovec, Dec 28 2023