%I #8 Oct 13 2017 03:19:36
%S 2,3,6,9,13,17,21,25,29,34,39,43,48,53,58,63,68
%N 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.
%C Maple produces the following table:
%C ...m................|..r
%C ...2,...............|..1
%C ...3,.4,.5..........|..2
%C ...6,.7,.8..........|..3
%C ...9,10,11,12.......|..4
%C ..13,14,15,16.......|..5
%C ..17,18,19,20.......|..6
%C ..21,22,23,24.......|..7
%C ..25,26,27,28.......|..8
%C ..29,30,31,32,33....|..9
%C ..34,35,36,37,38....|.10
%C ..39,40,41,42.......|.11
%C ..43,44,45,46,47....|.12
%C ..48,49,50,51,52....|.13
%C ..53,54,55,56,57....|.14
%C ..58,59,60,61,62....|.15
%C ..63,64,65,66,67....|.16
%C ..68,69,70,71,72,73.|.17
%D Stefan Kraemer, Eulers constant and related numbers, preprint, 2005.
%H Stefan Kraemer, <a href="http://www.math.uni-goettingen.de/skraemer/gamma.html">Euler's Constant 0.577... Its Mathematics and History</a>
%H D. H. Lehmer, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa27/aa27121.pdf">Euler constants for arithmetic progressions</a>, Acta Arith. 27 (1975) 125-142.
%F E(r,m) = lim_{n->oo} (H_{r,m}(n) - log n / m); E(r,m) = -1/m * (log m + Psi(r/m))
%K nonn,uned
%O 1,1
%A _Stefan Krämer_, Jun 28 2007
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