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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 (list; graph; refs; listen; history; text; internal format)
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
A175555 := proc(n)
local k, s, al ;
k := A065502(n) ;
for s from 1 do
for al from 0 to s-1 do
if (10^s-10^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 * A346994 A070387 A331272
KEYWORD
nonn,base
AUTHOR
Michel Lagneau, Jun 29 2010
STATUS
approved

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Last modified May 23 02:40 EDT 2024. Contains 372758 sequences. (Running on oeis4.)