STATUS
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approved
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Denominators in the fractional coefficients that form the partial quotients of the continued fraction representation of the inverse tangent of 1/x.
(history; published version)
(history; published version)
EXAMPLE
The coefficient coefficients of x in the even-indexed partial quotients converge to Pi:
The coefficient coefficients of x in the odd-indexed partial quotients converge to 4/Pi:
STATUS
approved
editing
STATUS
editing
approved
NAME
Denominators in the fractional coefficients forming that form the partial quotients of the continued fraction representation of the inverse tangent of 1/x.
STATUS
approved
editing
STATUS
editing
approved
NAME
Denominators in the fractional coefficients of forming the partial quotients of the continued fraction representation of the inverse tangent of 1/x.
LINKS
Paul D. Hanna, <a href="/A110256/b110256.txt">Table of n, a(n) for n = 1..400</a>
STATUS
approved
editing
STATUS
editing
approved
NAME
Denominators of in the fractional coefficients of the partial quotients of the continued fraction representation of the inverse tangent of 1/x.
COMMENTS
EXAMPLE
EvenThe coefficient of x in the even-indexed partial quotients converge to Pi:
OddThe coefficient of x in the odd-indexed partial quotients converge to 4/Pi:
STATUS
approved
editing
AUTHOR
_Paul D. Hanna (pauldhanna(AT)juno.com), _, Jul 18 2005
CROSSREFS
Cf. A095175. [From _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Aug 18 2008]