A100085 Decimal expansion of Sum_{n>0} 1/(n!^n!).

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

Offset

1,2

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".

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 = 1..10000.

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

G. Martin, Absolutely abnormal numbers arXiv:math/0006089 [math.NT], 2000; American Mathematical Monthly 108 (October):746-754.

Example

1.250021433470507544581618655692730516577534706218865768307...

Mathematica

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

Prog

(PARI) suminf(n=1, 1/(n!^n!)) \\ Michel Marcus, Dec 22 2016

Crossrefs

Cf. A073009, A099870, A099871, A099872, A099873, A100084.

Sequence in context: A020821 A020773 A249422 * A159986 A065452 A370541

Adjacent sequences: A100082 A100083 A100084 * A100086 A100087 A100088

Keyword

cons,nonn

Author

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

Extensions

Edited by N. J. A. Sloane, May 16 2008 at the suggestion of R. J. Mathar

Status

approved