[seqfan] need help for a calculation

[David Newman]

I'm away from home and don't have access to my copy of Mathematica,
otherwise I'd do this myself.

How many binary digits are there in Floor [ (3/2) ^n ] ?

The first 16 values that I've computed by hand seem to agree with A005378.

ex. for n=0    Floor[ (3/2)^0]=1  which is 1 in binary, so a(0)=1

for n=1  Floor[3/2]=1, which is 1 in binary, so a(1)=1

for n=2  Floor[9/4]=2, which is 10 in binary, so a(2)=2

I'd be very pleasantly surprised if this continues since the quantity being
calculated is related to several unsolved problems.

If anyone out there has a few minutes to continue the calculations I'd
appreciate it.