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A070890 Numerator of Sum_{k=1..n} mu(k)/k when it changes sign. +0
2
-1, 2, -1, 19, -1, 304, -81988, 410857, -249979, 4165258, -65721449, 2562470143, -5468849774, 184344882947, -137190436674212, 10026981687881, -12611493192339623 (list; graph; listen)
OFFSET

1,2

EXAMPLE

a(1)= -1 because numerator first sign change is 1-1/2-1/3-1/5= > (-1)/30 <0.

a(2)=2 because next sign change is -1/30+1/6 = 2/15, reverts to positive.

PROGRAM

PARI: t = 0; v = []; for( n = 1, 120, t1 = t; t = t + mu( n) / n; if( t * t1 < 0, v = concat( v, numer( t)), )); v

CROSSREFS

Cf. A070891, A070888, A070889.

Sequence in context: A089512 A089014 A063426 this_sequence A123907 A013016 A012901

Adjacent sequences: A070887 A070888 A070889 this_sequence A070891 A070892 A070893

KEYWORD

frac,sign,easy

AUTHOR

Donald S McDonald (don.mcdonald(AT)paradise.net.nz), May 17 2002.

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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