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A171869
a(n) is the period of A175555(n) in the sequence {A175555}.
0
1, 2, 2, 2, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648, 4294967296
OFFSET
1,2
FORMULA
a(n) = 2^(n-4) if n > = 5.
EXAMPLE
{A175555} = {5, 25, 375, 625, 59375, ...} =>
a(1) = 1 because A175555(1) = 5 occurs with the period 1 in the sequence A175555;
a(2) = 2 because A175555(2) = 25 occurs with the period 2 in the sequence A175555;
a(3) = 2 because A175555(3) = 375 occurs with the period 2 in the sequence A175555.
MAPLE
nn:=2000:Digits:=nn:T:=array(1..nn):for n from 1 to nn do: T[n]:= irem(floor((1.5 ^n)*10^n), 10^n): od: for a from 1 to nn do: z1:=T[a]: ii:=0:k:=0:for b from a+1 to nn while(ii)=0 do:k:=k+1: z2:=irem(T[b], 10^a): if z1=z2 then ii:=1:printf(`%d, `, k): else fi:od:od:
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Michel Lagneau, Dec 30 2009, Apr 22 2010
EXTENSIONS
More terms and edits. - Michel Lagneau, Jul 14 2012
STATUS
approved