login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A256778 Decimal expansion of the generalized Euler constant gamma(1,4). 14
7, 1, 0, 2, 8, 9, 7, 9, 3, 0, 6, 4, 0, 9, 3, 6, 9, 7, 3, 1, 3, 7, 6, 6, 4, 7, 5, 7, 9, 5, 0, 8, 2, 6, 1, 0, 3, 0, 4, 0, 6, 1, 0, 4, 2, 4, 9, 6, 9, 3, 2, 9, 4, 0, 8, 5, 3, 4, 7, 9, 8, 8, 5, 1, 3, 3, 0, 4, 2, 3, 8, 7, 9, 7, 2, 6, 1, 5, 9, 7, 1, 4, 6, 4, 2, 0, 6, 9, 5, 0, 7, 3, 9, 8, 0, 5, 9, 9, 2, 7, 6, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

D. H. Lehmer, Euler constants for arithmetic progressions, Acta Arith. 27 (1975) p. 134.

FORMULA

EulerGamma/4 + Pi/8 + log(2)/4.

Sum_{n>=0} (1/(4n+1) - 1/2*arctanh(2/(4n+3))).

EXAMPLE

0.71028979306409369731376647579508261030406104249693294...

MATHEMATICA

RealDigits[EulerGamma/4 + Pi/8 + Log[2]/4, 10, 103] // First

CROSSREFS

Cf. A001620 (EulerGamma), A228725 (gamma(1,2)), A256425 (gamma(1,3)), A256779-A256784 (selection of ruler-and-compass constructible gamma(r,k)).

Sequence in context: A229819 A194655 A197037 * A218620 A195911 A231096

Adjacent sequences:  A256775 A256776 A256777 * A256779 A256780 A256781

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Apr 10 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 17 15:36 EDT 2018. Contains 313816 sequences. (Running on oeis4.)