A049281 - OEIS

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A049281

Numerators of coefficients in power series for -ln(1+x)*ln(1-x).

1, 5, 47, 319, 1879, 20417, 263111, 52279, 1768477, 33464927, 166770367, 3825136961, 19081066231, 57128792093, 236266661971, 7313175618421, 14606816124167, 102126365345729, 3774664307989373, 3771059091081773 (list; graph; refs; listen; history; internal format)

	OFFSET	`2,2`
	COMMENTS	`a(n)/A069685(n)=int(x^nln(1+1/sqrt(x)),x=0..1)=(1/(n+1))sum((-1)^k/(2n+1-k),k=0..2n)`
	EXAMPLE	`-log(1+x)log(1-x)=x^2 + 5/12x^4 + 47/180x^6 + 319/1680x^8 +...`
	CROSSREFS	`Cf. A069685.` `Bisection of A058313.` `Sequence in context: A139889 A134327 A122501 * A198854 A200814 A181582` `Adjacent sequences: A049278 A049279 A049280 * A049282 A049283 A049284`
	KEYWORD	`easy,frac,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), May 03 2002`

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.