login
This site is supported by donations to The OEIS Foundation.

 

Logo

The OEIS is looking to hire part-time people to help edit core sequences, upload scanned documents, process citations, fix broken links, etc. - Neil Sloane, njasloane@gmail.com

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272873 Decimal expansion of the quadratic mean of 1 and Pi. 1
2, 3, 3, 1, 2, 6, 6, 2, 2, 2, 5, 8, 0, 4, 8, 4, 1, 1, 6, 2, 1, 5, 2, 5, 3, 0, 1, 9, 4, 2, 9, 6, 8, 5, 7, 5, 1, 7, 3, 9, 6, 3, 3, 7, 7, 6, 9, 5, 5, 6, 6, 4, 4, 5, 9, 3, 0, 6, 8, 4, 0, 8, 8, 7, 3, 1, 8, 2, 5, 4, 6, 3, 7, 6, 1, 6, 7, 2, 3, 5, 8, 2, 2, 0, 8, 9, 5, 9, 0, 6, 9, 1, 7, 5, 4, 7, 7, 2, 2, 3, 5, 3, 7, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Quadratic mean (also known as the root mean square, rms) of two numbers x and y, is the Hoelder mean H(x,y,p) = ((x^2+y^2)/2)^(1/p) with p = 2.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..1000

Wikipedia, Generalized mean

FORMULA

Equals sqrt((1+Pi^2)/2).

EXAMPLE

2.3312662225804841162152530194296857517396337769556644593068408873...

PROG

(PARI) sqrt((1+Pi^2)/2)

CROSSREFS

Cf. A000796, A002388.

Other means of 1 and Pi: A002161 (geometric, p=0), A191502 (AGM), A197733 (harmonic, p=-1), A269430 (arithmetic, p=1).

Sequence in context: A051911 A106595 A181608 * A109199 A279813 A256909

Adjacent sequences:  A272870 A272871 A272872 * A272874 A272875 A272876

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, May 15 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified May 28 17:57 EDT 2017. Contains 287241 sequences.