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A212880 Decimal expansion of the negated argument of i!. 3
3, 0, 1, 6, 4, 0, 3, 2, 0, 4, 6, 7, 5, 3, 3, 1, 9, 7, 8, 8, 7, 5, 3, 1, 6, 5, 7, 7, 9, 6, 8, 9, 6, 5, 4, 0, 6, 5, 9, 8, 9, 9, 7, 7, 3, 9, 4, 3, 7, 6, 5, 2, 3, 6, 9, 4, 0, 7, 4, 4, 0, 0, 5, 3, 8, 3, 0, 6, 0, 5, 8, 1, 4, 3, 9, 5, 0, 2, 9, 5, 3, 3, 9, 9, 8, 9, 8, 2, 2, 6, 9, 7, 2, 7, 9, 5, 0, 1, 1, 9, 4, 2, 3, 4, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The value is in radians.

This constant is the limit for n -> infinity of ((sum_{k=1..n} arctan(1/k)) - log(n)). [Jean-François Alcover, Aug 07 2014, after Steven Finch]

LINKS

Table of n, a(n) for n=0..104.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 5.

FORMULA

-arg(i*Gamma(i)), since i! = Gamma(1+i) = i*Gamma(i).

Equals arctan(A212878/A212877). - Vaclav Kotesovec, Dec 10 2015

EXAMPLE

0.30164032046753319788753165779...

MATHEMATICA

RealDigits[-Arg[Gamma[1 + I]], 10, 105] // First (* Jean-François Alcover, Aug 07 2014 *)

CROSSREFS

Cf. A212877 (real(i!)), A212878 (-imag(i!)), A212879 (abs(i!)).

Sequence in context: A247255 A105147 A111924 * A211510 A243984 A100485

Adjacent sequences:  A212877 A212878 A212879 * A212881 A212882 A212883

KEYWORD

nonn,cons,easy

AUTHOR

Stanislav Sykora, May 29 2012

STATUS

approved

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Last modified August 19 19:25 EDT 2017. Contains 290821 sequences.