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A062540
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Continued fraction for the Lemniscate constant or Gauss' constant.
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2
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2, 1, 1, 1, 1, 1, 4, 1, 2, 5, 1, 1, 1, 14, 9, 2, 6, 2, 9, 4, 1, 10, 2, 4, 1, 8, 2, 1, 5, 3, 11, 3, 17, 2, 338, 2, 3, 1, 1, 6, 3, 1, 2, 1, 1, 1, 2, 1, 2, 3, 9, 1, 1, 1, 2, 21, 1, 1, 2, 5, 3, 1, 1, 3, 1, 1, 10, 1, 1, 1, 40, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 2, 81, 1, 2, 2, 1, 1, 4, 8, 3, 5, 1, 1, 3, 180, 2, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,5000
_Simon Plouffe_, Lemniscate or Gauss constant(Plouffe's Inverter)
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EXAMPLE
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2.622057554292119810464839589891119413682754951431623162816821703...
2.622057554292119810464839589... = 2 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith, Jun 20 2009]
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PROG
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(PARI) contfrac(1/2*Pi^(3/2)/gamma(3/4)^2*2^(1/2))
(PARI) { allocatemem(932245000); default(realprecision, 5200); x=contfrac(Pi^(3/2)*sqrt(2)/(2*gamma(3/4)^2)); for (n=1, 5000, write("b062540.txt", n, " ", x[n])); } [From Harry J. Smith, Jun 20 2009]
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CROSSREFS
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Cf. A062539.
Sequence in context: A132068 A173441 A129192 * A173636 A115878 A127125
Adjacent sequences: A062537 A062538 A062539 * A062541 A062542 A062543
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KEYWORD
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easy,nonn,cofr
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jun 25 2001
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STATUS
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approved
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