Search: id:A060746
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%I A060746
%S A060746 0,1,3,11,25,137,49,121,761,7129,7381,83711,86021,1145993,1171733,
%T A060746 1195757,2436559,42142223,14274301,275295799,11167027,18858053,6364399,
%U A060746 444316699,269564591,34052522467,34395742267,312536252003
%N A060746 Absolute value of numerator of non-Euler-constant term of Laurent expansion 
               of Gamma function at s=-n.
%C A060746 If you start with ln(z) and integrate it n times in succession, then 
               you get z^n*ln(z)/n! - K(n)*z^n where K(1)=1, K(2)=3/4, K(3)=11/36, 
               K(4)=25/288, K(5)=137/7200, K(6)=49/14400, etc. - Warren D. Smith 
               (warren.wds(AT)gmail.com), Jan 01 2006
%F A060746 Conjecture: a(n) = LCM(Wolstenholme(n), n!)/n!, cf. A001008. - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), May 20 2004
%e A060746 series(GAMMA(s), s=-4,1 ) = series(1/24*(s+4)^(-1)+(25/288-1/24*gamma)+O((s+4)),
               s=-4,1). Hence a(4)=25 series(GAMMA(s), s=-5,1 ) = series(-1/120*(s+5)^(-1)+(-137/
               7200+1/120*gamma)+O((s+5)),s=-5,1). Hence a(5)=137
%Y A060746 Sequence in context: A147382 A164303 A129082 this_sequence A111935 A001008 
               A096617
%Y A060746 Adjacent sequences: A060743 A060744 A060745 this_sequence A060747 A060748 
               A060749
%K A060746 nonn
%O A060746 0,3
%A A060746 Sen-Peng You (giawgwan(AT)single.url.com.tw), Apr 23 2001

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