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 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

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Last modified May 13 01:10 EDT 2021. Contains 343829 sequences. (Running on oeis4.)