login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A264920 Decimal expansion of constant z = Sum_{n>=1} {(5/2)^n} * (2/5)^n, where {x} is the fractional part of x. 4
2, 9, 0, 3, 6, 0, 5, 4, 1, 4, 6, 9, 8, 2, 2, 7, 7, 1, 3, 0, 8, 0, 9, 4, 6, 1, 0, 9, 2, 4, 3, 9, 5, 9, 9, 7, 0, 9, 2, 8, 3, 6, 2, 1, 8, 5, 8, 7, 0, 4, 9, 7, 8, 9, 8, 0, 2, 2, 7, 7, 7, 3, 9, 8, 2, 2, 9, 6, 0, 6, 2, 6, 0, 2, 7, 8, 4, 5, 1, 6, 3, 1, 4, 6, 4, 9, 0, 7, 9, 8, 3, 1, 1, 0, 1, 0, 9, 2, 3, 0, 0, 0, 9, 4, 1, 5, 4, 5, 3, 0, 1, 7, 1, 7, 5, 3, 6, 5, 4, 1, 1, 8, 4, 5, 4, 5, 0, 4, 1, 9, 2, 0, 2, 0, 9, 9, 3, 6, 1, 8, 4, 1, 4, 8, 2, 6, 6, 1, 9, 3, 4, 5, 5, 6, 0, 0, 6, 1, 2, 8, 3, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..162.

FORMULA

z = Sum_{n>=1} (5^n mod 2^n) / 5^n = Sum_{n>=1} A029757(n) / 5^n.

EXAMPLE

z = 0.29036054146982277130809461092439599709283621858704\

97898022777398229606260278451631464907983110109230\

00941545301717536541184545041920209936184148266193\

45560061283623671385240800155746118024134819360960\

04975532010154856783010592635208001206034224504288\

68709199272487962506077008849077084442477839576367\

39796048023434177527610014191473439280227784839521\

53755837195252122355246487888500246551317747557030\

20808674351984895348164983096465432641383339907483\

96807465278185792027753412945335820788419423791331...

INFINITE SERIES.

z = 1/5 + 1/5^2 + 5/5^3 + 1/5^4 + 21/5^5 + 9/5^6 + 45/5^7 + 225/5^8 + 357/5^9 + 761/5^10 + 1757/5^11 + 2641/5^12 + 5013/5^13 + 489/5^14 + 18829/5^15 + 28609/5^16 + 11973/5^17 + 59865/5^18 + 37181/5^19 + 185905/5^20 +...+ A029757(n)/5^n +...

CROSSREFS

Cf. A029757 (5^n mod 2^n), A264918, A264919, A264921, A264922.

Sequence in context: A011063 A021779 A201893 * A324833 A019969 A185362

Adjacent sequences: A264917 A264918 A264919 * A264921 A264922 A264923

KEYWORD

nonn,cons

AUTHOR

Paul D. Hanna, Dec 03 2015

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 29 13:55 EST 2022. Contains 358430 sequences. (Running on oeis4.)