

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



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

local k, s, al ;
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:


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



