Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A019727
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A019727 Decimal expansion of sqrt(2*Pi). +0
3
2, 5, 0, 6, 6, 2, 8, 2, 7, 4, 6, 3, 1, 0, 0, 0, 5, 0, 2, 4, 1, 5, 7, 6, 5, 2, 8, 4, 8, 1, 1, 0, 4, 5, 2, 5, 3, 0, 0, 6, 9, 8, 6, 7, 4, 0, 6, 0, 9, 9, 3, 8, 3, 1, 6, 6, 2, 9, 9, 2, 3, 5, 7, 6, 3, 4, 2, 2, 9, 3, 6, 5, 4, 6, 0, 7, 8, 4, 1, 9, 7, 4, 9, 4, 6, 5, 9, 5, 8, 3, 8, 3, 7, 8, 0, 5, 7, 2, 6 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

Pickover says that the expression: lim(n=1,infinity) e^n(n!) / n^n * sqrt(n) = sqrt(2*Pi) is beautiful because it connects Pi, e, radicals, factorials and infinite limits. - Jason Earls (zevi_35711(AT)yahoo.com), Mar 16 2001

REFERENCES

C. Pickover, Wonders of Numbers, Oxford University Press, NY, 2001, p. 307.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,20000

C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review

FORMULA

Equal to lim(n=1, infinity)e^n*(n!)/n^n*sqrt(n).

EXAMPLE

2.506628274631000502415765284811045253006986740609938316629923576342293... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]

PROGRAM

(PARI) { default(realprecision, 20080); x=sqrt(2*Pi); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b019727.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]

CROSSREFS

Cf. A058293 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]

Sequence in context: A058204 A090625 A021403 this_sequence A011184 A157214 A066033

Adjacent sequences: A019724 A019725 A019726 this_sequence A019728 A019729 A019730

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


AT&T Labs Research