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A138261
Smallest positive integer m such that n divides [8^m/m] (=A129798(m)).
8
1, 1, 10, 1, 3, 10, 7, 1, 11, 3, 21, 11, 9, 9, 13, 2, 3, 11, 13, 9, 11, 21, 15, 11, 21, 9, 13, 9, 10, 13, 11, 2, 21, 3, 9, 11, 13, 13, 17, 9, 21, 11, 10, 21, 13, 15, 92, 55, 29, 21, 20, 9, 58, 13, 21, 9, 13, 10, 22, 13, 21, 11, 11, 4, 9, 21, 23, 9, 67, 9, 46, 11, 13, 13, 21, 13, 31, 17
OFFSET
1,3
COMMENTS
This sequence is well-defined.
LINKS
Romanian Master in Mathematics Contest, Problem 3, Bucharest, 2007.
FORMULA
If A138255(n) is divisible by 3 then a(n)=A138255(n)/3. In general, a(n) >= A138255(n)/3.
MATHEMATICA
spi[n_]:=Module[{m=1}, While[!Divisible[Floor[8^m/m], n], m++]; m]; Array[spi, 80] (* Harvey P. Dale, Oct 23 2022 *)
KEYWORD
nonn
AUTHOR
Max Alekseyev, Mar 09 2008.
STATUS
approved