[seqfan] A069624

[israel at math.ubc.ca]

The data for A069624 doesn't seem to match the definition. The definition 
is "Number of different values taken by the integer part of n^(1/k) for all 
k >= 1."

The example given is

"a(28) = 4, floor[28^(1/2)] = 5, floor[28^1/3] = 3, floor[28^1/4] = 2, 
floor [28^1/5] = 1= floor[28^1/k, (k > 5)], etc. The distinct values are 
1,2,3 and 5."

But this ignores the case k=1 (28^(1/1) = 28). So I guess the definition 
should say k >= 2, not k >= 1.

Then all seems OK except that a(8) should be 2, not 3:
floor(8^(1/2)) = floor(8^(1/3)) = 2, floor(8^(1/k)) = 1 for k >= 4.

Cheers,
Robert Israel