

A175555


Preperiodic part of the decimal expansion of 1/k as k runs through A065502.


4



5, 25, 2, 1, 125, 1, 8, 0, 0, 625, 0, 5, 0, 41, 4, 0, 3, 0, 3125, 0, 0, 2, 0, 25, 0, 2, 0, 0, 208, 2, 1, 0, 0, 17, 0, 1, 0, 15625, 0, 0, 1, 0, 13, 0, 1, 1, 0, 125, 0, 1, 0, 0, 11, 0, 1, 0, 0, 1041, 0, 1
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OFFSET

1,1


COMMENTS

Multiples of 2 or 5 generate a quotient with a preperiodic sequence of digits, for example 1/24 = 0.041666666..., and 41 is the decimal form of the preperiodic part.
Usually a(n) = A114205(A065502(n)), but the convention in A114205 that leading zeros in the periodic part are attached to the preperiodic part seems not to be used here.  R. J. Mathar, Jul 20 2012


LINKS

Table of n, a(n) for n=1..60.


EXAMPLE

a(14)=4 is in the sequence because 1/25 = 0.040000... and 4 is the prefix.
208 is in the sequence because 1/48 = 2083333.... and 208 is the prefix.


MAPLE

A175555 := proc(n)
local k, s, al ;
k := A065502(n) ;
for s from 1 do
for al from 0 to s1 do
if (10^s10^al) mod k = 0 then
return floor(10^al/k) ;
end if;
end do:
end do:
end proc: # R. J. Mathar, Jul 22 2012


CROSSREFS

Cf. A036275.
Sequence in context: A270590 A271378 A305837 * A070387 A123748 A050108
Adjacent sequences: A175552 A175553 A175554 * A175556 A175557 A175558


KEYWORD

nonn,base


AUTHOR

Michel Lagneau, Jun 29 2010


STATUS

approved



