A253182 The continued fraction expansion of e! (A178394).

4, 3, 1, 5, 38, 2, 1, 65, 1, 1, 2, 2, 3, 5, 1, 1, 38, 1, 1, 1, 5, 16, 1, 1, 1, 1, 5, 1, 97, 1, 1, 1, 1, 1, 1, 10, 4, 1, 6, 3, 3, 10, 6, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 5, 1, 14, 2, 5, 12, 2, 2, 2, 2, 1, 3, 2, 1, 1, 2, 4, 1, 1, 6, 3, 1, 4, 2, 1, 1, 1, 1

Offset

0,1

Comments

The increasing partial quotients (after the initial 4) are 3, 5, 38, 65, 97, 98, 239, 644, 3395, 11360, 14473, 263721, ..., .

Links

Table of n, a(n) for n=0..89.

Example

Gamma(e+1) = 4.2608204763570033817001212246457024649334243739593219749116...
= 4 + 1/(3 + 1/(1 + 1/(5 + 1/(38 + ...))))
= [a_0; a_1, a_2, a_3, ...] = [4; 3, 1, 5, 38, ...]

Mathematica

ContinuedFraction[E!, 90]

Prog

(PARI) default(realprecision, 100); contfrac(gamma(exp(1)+1)) \\ Michel Marcus, Mar 24 2015

Crossrefs

Cf. A178394, A255196.

Sequence in context: A020839 A275981 A087274 * A283299 A355182 A190157

Adjacent sequences: A253179 A253180 A253181 * A253183 A253184 A253185

Keyword

nonn,cofr,easy

Author

Robert G. Wilson v, Mar 23 2015

Status

approved