

A274169


Decimal expansion of 1/exp(exp(1)1).


1



1, 7, 9, 3, 7, 4, 0, 7, 8, 7, 3, 4, 0, 1, 7, 1, 8, 1, 9, 6, 1, 9, 8, 9, 5, 8, 7, 3, 1, 8, 3, 1, 6, 4, 9, 8, 4, 5, 9, 6, 8, 1, 6, 0, 1, 7, 5, 8, 9, 1, 5, 6, 1, 3, 1, 5, 7, 3, 7, 0, 4, 2, 1, 6, 0, 2, 4, 8, 3, 7, 6, 0, 8, 1, 1, 6, 4, 5, 7, 2, 8, 8, 0, 1, 3, 0, 9, 4, 1, 4, 1, 1, 2, 4, 3, 8, 0, 0, 4, 6, 0, 5, 6, 0
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OFFSET

0,2


COMMENTS

This is the limiting value of the probability that a random npermutation will have no cycles of length less than k (for any k) as n goes to infinity. For example, the probability (as n goes to infinity) that a random npermutation has no fixed points is 1/exp(1). The probability that it has no cycles of length 1 or 2 is 1/exp(1+1/2). The probability that it has no cycles of length 1 or 2 or 3 is 1/exp(1+1/2+1/3!)...


LINKS

Table of n, a(n) for n=0..103.
P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009; see page 228.


FORMULA

Equals 1/A234473.  Michel Marcus, Jun 12 2016


EXAMPLE

0.1793740787340171819619895873183164984596816...


MAPLE

Digits:=100: evalf(1/exp(exp(1)1)); # Wesley Ivan Hurt, Jun 11 2016


MATHEMATICA

RealDigits[1/E^(E  1), 10, 50][[1]]


PROG

(PARI) 1/exp(exp(1)1) \\ Michel Marcus, Jun 12 2016


CROSSREFS

Cf. A000166, A038205, A047865, A234473.
Sequence in context: A021130 A270714 A010516 * A121168 A102375 A216754
Adjacent sequences: A274166 A274167 A274168 * A274170 A274171 A274172


KEYWORD

nonn,cons


AUTHOR

Geoffrey Critzer, Jun 11 2016


STATUS

approved



