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!)
A158625 Lower limit of backward value of 5^n. 4
5, 2, 1, 3, 0, 2, 3, 3, 0, 4, 3, 1, 1, 3, 1, 1, 2, 4, 2, 1, 0, 3, 1, 3, 3, 0, 0, 0, 2, 3, 1, 4, 1, 0, 2, 1, 0, 3, 4, 3, 0, 2, 1, 2, 2, 1, 1, 4, 4, 3, 4, 0, 2, 0, 4, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 3, 3, 2, 0, 1, 1, 4, 4, 2, 0, 1, 4, 2, 4, 1, 2, 0, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Digits are all in {0,1,2,3,4} after the first term.

The upper limit is A158624, 0.5265679578796997657885576975995789586775656...

LINKS

Jon E. Schoenfield, Table of n, a(n) for n = 1..3000

EXAMPLE

5^3 = 125 so the backward value is 0.521, 5^10 = 9765625, so backward value is 0.5265679. The lower limit of all values is a constant, which appears to be 0.521302330431131124210313300023141021034302...

From N. J. A. Sloane, May 11 2018 (Start)

To describe this another way: write down the decimal expansion of powers of 5:

1

5

25

125

625

3125

...

keep going forever.

Write them backwards:

1

5

52

526

5213

...

After a while the beginning digits are all the same.

That's the sequence. (End)

PROG

(Python)

# lower limit of backward sequence of 5^n

a, i=5, 0; x=a

while i < 100:

i+=1; print(x, end=', ')

for j in range(5):

if (a+j*10**i)%(5**(i+1))==0: x=j; a+=j*10**i

# Cezary Glowacz, Mar 11 2017

(Magma) D:=87; e:=6; for d in [2..D-1] do t:=Modexp(5, e, 10^(d+1)); if t div 10^d ge 5 then e+:=2^(d-2); end if; end for; t:=Modexp(5, e, 10^D); IntegerToSequence(t, 10); // Jon E. Schoenfield, Feb 05 2018

CROSSREFS

Cf. A158624, A004094, A023415, A145679.

Sequence in context: A243258 A275704 A038631 * A133615 A136161 A350688

Adjacent sequences: A158622 A158623 A158624 * A158626 A158627 A158628

KEYWORD

cons,nonn,nice,base

AUTHOR

Simon Plouffe, Mar 23 2009

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 December 7 15:01 EST 2022. Contains 358667 sequences. (Running on oeis4.)