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A100085 Decimal expansion of Sum_{n>0} 1/(n!^n!). +0
8
1, 2, 5, 0, 0, 2, 1, 4, 3, 3, 4, 7, 0, 5, 0, 7, 5, 4, 4, 5, 8, 1, 6, 1, 8, 6, 5, 5, 6, 9, 2, 7, 3, 0, 5, 1, 6, 5, 7, 7, 5, 3, 4, 7, 0, 6, 2, 1, 8, 8, 6, 5, 7, 6, 8, 3, 0, 7, 4, 2, 9, 2, 0, 3, 7, 0, 2, 7, 4, 9, 6, 5, 1, 0, 3, 8, 1, 8, 9, 6, 0, 5, 1, 9, 6, 3, 5, 8, 7, 8, 2, 7, 4, 6, 2, 6, 1, 4, 4, 4, 4, 7, 9 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

This number was called the Pomerance Number, after Carl Pomerance, in the paper by Bailey and Crandall referenced here. The paper by Martin contains a suggestion in its the Acknowledgements section by Carl Pomerance that the number might be "absolutely abnormal".

REFERENCES

G. Harman, One hundred years of normal numbers, in M. A. Bennett et al., eds., Number Theory for the Millennium, II (Urbana, IL, 2000), 149-166, A K Peters, Natick, MA, 2002.

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 0..10000.

D. H. Bailey and R. E. Crandall On the random character of fundamental constant expansions

G. Martin Absolutely abnormal numbers. American Mathematical Monthly 108(October):746-754. Preprint available at this link

EXAMPLE

1.250021433470507544581618655692730516577534706218865768307...

MATHEMATICA

RealDigits[ Sum[1/(n!)^(n!), {n, 4}], 10, 111][[1]] - Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 26 2008

CROSSREFS

Cf. A073009, A099870 to A099873, A100084.

Sequence in context: A062701 A020821 A020773 this_sequence A159986 A065452 A004598

Adjacent sequences: A100082 A100083 A100084 this_sequence A100086 A100087 A100088

KEYWORD

cons,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 08 2004

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), May 16 2008 at the suggestion of R. J. Mathar.

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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