A100084 -id:A100084 - cp's OEIS frontend

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

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

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".

			1.250021433470507544581618655692730516577534706218865768307...

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.

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.

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

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

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

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

A053986 a(n) = n^(n!).

Original entry on oeis.org

0, 1, 4, 729, 281474976710656, 752316384526264005099991383822237233803945956334136013765601092018187046051025390625

Offset: 0

Henry Bottomley, Apr 03 2000

Next term has 561 digits.

			a(3) = 729 because 3^3! = 3^6 = 729.

Cf. A036740, A050923, A100084.

Table[n^n!, {n, 0, 5}] (* Alonso del Arte, Jan 03 2011 *)

makelist(n^n!,n,0,6); /* Martin Ettl, Jan 13 2013 */

Sum_{n>=1} 1/a(n) = A100084. - Amiram Eldar, Nov 11 2020

One more term from Lior Manor, Nov 27 2001

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Examples

References

Links

Crossrefs

Programs

Mathematica

PARI

Extensions