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A100085
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Decimal expansion of Sum_{n>0} 1/(n!^n!).
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8
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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".
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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.
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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
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EXAMPLE
| 1.250021433470507544581618655692730516577534706218865768307...
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MATHEMATICA
| RealDigits[ Sum[1/(n!)^(n!), {n, 4}], 10, 111][[1]] - Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 26 2008
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CROSSREFS
| Cf. A073009, A099870 to A099873, A100084.
Sequence in context: A192225 A020821 A020773 * A159986 A065452 A004598
Adjacent sequences: A100082 A100083 A100084 * A100086 A100087 A100088
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KEYWORD
| cons,nonn
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 08 2004
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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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