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PEN N Problems
1
N 1
N 1
Source:
May 25, 2007
floor function
More Sequences
Problem Statement
Show that the sequence
{
a
n
}
n
≥
1
\{a_{n}\}_{n \ge 1}
{
a
n
}
n
≥
1
defined by
a
n
=
⌊
n
2
⌋
a_{n}=\lfloor n\sqrt{2}\rfloor
a
n
=
⌊
n
2
⌋
contains an infinite number of integer powers of
2
2
2
.
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