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A247551 Decimal expansion of Product_{k>=2} 1/(1-1/k!). 11
2, 5, 2, 9, 4, 7, 7, 4, 7, 2, 0, 7, 9, 1, 5, 2, 6, 4, 8, 1, 8, 0, 1, 1, 6, 1, 5, 4, 2, 5, 3, 9, 5, 4, 2, 4, 1, 1, 7, 8, 7, 0, 2, 3, 9, 4, 8, 4, 5, 9, 9, 7, 3, 3, 7, 5, 8, 4, 9, 3, 4, 9, 8, 2, 5, 0, 0, 2, 1, 1, 8, 7, 8, 0, 0, 8, 6, 6, 9, 9, 1, 2, 1, 9, 9, 8, 8, 3, 6, 4, 6, 2, 5, 2, 6, 1, 4, 9, 5, 5, 1, 6, 4, 3, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

A. Knopfmacher, A. M. Odlyzko, B. Pittel, L. B. Richmond, D. Stark, G. Szekeres, N. C. Wormald, The Asymptotic Number of Set Partitions with Unequal Block Sizes, The Electronic Journal of Combinatorics, Volume 6 (1999), Research Paper #R2.

FORMULA

Product_{k>=2} 1/(1-1/k!).

Equals lim n -> infinity A005651(n) / n!.

EXAMPLE

2.5294774720791526481801161542539542411787023948459973375849349825...

MAPLE

evalf(1/product(1-1/k!, k=2..infinity), 100); # Vaclav Kotesovec, Sep 19 2014

PROG

(PARI) default(realprecision, 150); 1/prodinf(k=2, 1 - 1/k!) \\ Vaclav Kotesovec, Sep 21 2014

CROSSREFS

Cf. A005651, A035341, A072605, A140585, A183239, A209668, A261600, A292713.

Sequence in context: A131201 A070633 A266256 * A273580 A272679 A119764

Adjacent sequences:  A247548 A247549 A247550 * A247552 A247553 A247554

KEYWORD

nonn,cons,easy

AUTHOR

Vaclav Kotesovec, Sep 19 2014

STATUS

approved

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Last modified January 20 16:20 EST 2019. Contains 319335 sequences. (Running on oeis4.)