id:A068217 - OEIS Search Results

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Denominators of coefficients in ln(1+x)*sqrt(1+x) power series.

+0
1

2, 4, 2, 8, 10, 4, 14, 16, 6, 20, 22, 8, 26, 28, 10, 32, 34, 12, 38, 40, 14, 44, 46, 16, 50, 52, 18, 56, 58, 20, 62, 64, 22, 68, 70, 24, 74, 76, 26, 80, 82, 28, 86, 88, 30, 92, 94, 32, 98, 100, 34, 104, 106, 36, 110, 112, 38, 116, 118, 40, 122, 124, 42, 128, 130, 44, 134 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Numerators are b(n)=(-1)^(n+1) if n==0 (mod 3) b(n)=(-1)^(n+1)*3 otherwise`
	FORMULA	`a(n)=2n/3 if n==0 (mod 3) a(n)=2n otherwise ln(1+x)sqrt(1+x)=-3sum(k>=1, (-x)^k/(2k))` `a(n) = 2*A038502(n) (from Mitch Harris, Jun 29 2005)`
	CROSSREFS	`Sequence in context: A113477 A129178 A065286 this_sequence A114593 A114655 A051288` `Adjacent sequences: A068214 A068215 A068216 this_sequence A068218 A068219 A068220`
	KEYWORD	`easy,frac,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 30 2002`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research