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A255196
The continued fraction expansion of Pi! (A111293).
1
7, 5, 3, 6, 2, 1, 1, 3, 1, 3, 1, 1, 1, 1, 6, 1, 7, 22, 22, 1, 6, 2, 1, 24, 3, 2, 3, 1, 1, 13, 1, 19, 1, 42, 2, 3, 1, 4, 1, 1, 7, 4, 2, 4, 5, 1, 2, 5, 3, 7, 3, 1, 1, 7, 2, 1, 1, 1, 11, 5, 3, 4, 48, 1, 5, 2, 1, 5, 3, 429, 1, 4, 8, 1, 5, 2, 6, 1, 5, 1
OFFSET
0,1
COMMENTS
Records: 5, 6, 22, 24, 42, 48, 429, 2962, 136067, 259575, ..., .
EXAMPLE
Pi! = 7.188082728976032702082194345124758718559301763968437162410035699423438403...
= 7 + 1/(5 + 1/(3 + 1/(6 + 1/(2 + ...))))
= [a_0; a_1, a_2, a_3, ...] = [7; 5, 3, 6, 2, ...]
MATHEMATICA
ContinuedFraction[Pi!, 100]
PROG
(PARI) default(realprecision, 100); contfrac(gamma(Pi+1)) \\ Michel Marcus, Feb 18 2015
CROSSREFS
Cf. A111293.
Sequence in context: A198983 A019935 A255646 * A345736 A206643 A257499
KEYWORD
nonn,cofr
AUTHOR
Robert G. Wilson v, Feb 17 2015
STATUS
approved