The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A130673 Smallest m of r=1,2,3,... where the generalized Euler constants (of D. H. Lehmer) E(r,m) change their sign: E(r,m) > 0 and E(r+1,m) < 0. 0
 2, 3, 6, 9, 13, 17, 21, 25, 29, 34, 39, 43, 48, 53, 58, 63, 68 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Maple produces the following table: ...m................|..r ...2,...............|..1 ...3,.4,.5..........|..2 ...6,.7,.8..........|..3 ...9,10,11,12.......|..4 ..13,14,15,16.......|..5 ..17,18,19,20.......|..6 ..21,22,23,24.......|..7 ..25,26,27,28.......|..8 ..29,30,31,32,33....|..9 ..34,35,36,37,38....|.10 ..39,40,41,42.......|.11 ..43,44,45,46,47....|.12 ..48,49,50,51,52....|.13 ..53,54,55,56,57....|.14 ..58,59,60,61,62....|.15 ..63,64,65,66,67....|.16 ..68,69,70,71,72,73.|.17 REFERENCES Stefan Kraemer, Eulers constant and related numbers, preprint, 2005. LINKS Stefan Kraemer, Euler's Constant 0.577... Its Mathematics and History D. H. Lehmer, Euler constants for arithmetic progressions, Acta Arith. 27 (1975) 125-142. FORMULA E(r,m) = lim_{n->oo} (H_{r,m}(n) - log n / m); E(r,m) = -1/m * (log m + Psi(r/m)) CROSSREFS Sequence in context: A285084 A248187 A190772 * A306777 A062891 A018599 Adjacent sequences: A130670 A130671 A130672 * A130674 A130675 A130676 KEYWORD nonn,uned AUTHOR Stefan Krämer, Jun 28 2007 STATUS approved

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

Last modified December 6 10:23 EST 2022. Contains 358630 sequences. (Running on oeis4.)