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A068219 Denominators of coefficients in ln(1+x)*(1+x)^(1/3) power series. +0
1
3, 3, 9, 3, 15, 9, 21, 6, 27, 15, 33, 9, 39, 21, 45, 12, 51, 27, 57, 15, 63, 33, 69, 18, 75, 39, 81, 21, 87, 45, 93, 24, 99, 51, 105, 27, 111, 57, 117, 30, 123, 63, 129, 33, 135, 69, 141, 36, 147, 75, 153, 39, 159, 81, 165, 42, 171, 87, 177, 45, 183, 93, 189, 48, 195, 99 (list; graph; listen)
OFFSET

1,1

COMMENT

ln(1+x)*(1+x)^(1/3)=(-4)*sum(k=>1,(-x)^k/(3k))

FORMULA

a(n)=3n if n==1 or 3 (mod 4) a(n)=3n/2 if n==2 (mod 4) a(n)=3n/4 if n==0 (mod 4)

a(n) = 3*A060819(n) (from Mitch Harris, Jun 29 2005)

CROSSREFS

Sequence in context: A048883 A036553 A166466 this_sequence A157031 A113213 A088032

Adjacent sequences: A068216 A068217 A068218 this_sequence A068220 A068221 A068222

KEYWORD

easy,frac,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 30 2002

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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