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

Author

Robert G. Wilson v, Feb 17 2015

Keywords

• nonn
• cofr

Comments

Records: 5, 6, 22, 24, 42, 48, 429, 2962, 136067, 259575, ..., .

Examples

			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, ...]
		

Crossrefs

Cf. A111293.

Programs

Mathematica

ContinuedFraction[Pi!, 100]

PARI

default(realprecision, 100); contfrac(gamma(Pi+1)) \\ Michel Marcus, Feb 18 2015