

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
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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..D1] do t:=Modexp(5, e, 10^(d+1)); if t div 10^d ge 5 then e+:=2^(d2); 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



