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A102367 (Numerator of n-th convergent to Pi having an even numerator)/2. 0
11, 52174, 573204, 122925461, 534483448, 3083975227, 2685575996367, 214112296674652, 131226315167691099699, 396325638628212603442, 5947531272548328355975, 118554299812338354516058 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Abs[Cos[a(n)]] approaches 0; Abs[Sin[a(n)]] approaches 1.
LINKS
Eric Weisstein's World of Mathematics, Convergent.
EXAMPLE
a(1) = 11 because the first convergent of Pi with an even numerator is 22/7.
MATHEMATICA
Select[Table[1/2*Numerator[FromContinuedFraction[ContinuedFraction[Pi, k][[Range[1, k]]]]], {k, 1, 60}], IntegerQ]
CROSSREFS
Sequence in context: A343119 A295176 A337248 * A055322 A348644 A165934
KEYWORD
base,nonn
AUTHOR
Joseph Biberstine (jrbibers(AT)indiana.edu), Feb 22 2005
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)