A255196 The continued fraction expansion of Pi! (A111293).

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, ..., .

Links

Table of n, a(n) for n=0..79.

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

Adjacent sequences: A255193 A255194 A255195 * A255197 A255198 A255199

Keyword

nonn,cofr

Author

Robert G. Wilson v, Feb 17 2015

Status

approved