Is it true that $\frac{2^{t}-1}{t}+\frac d{t}>\frac d{\lceil\log_2 d\rceil}$ holds always for every large enough $d\in\mathbb N$ and $t\geq\lceil\log_2 d\rceil$?
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Is this related to the original post with ">d+1" ? – Peter Jan 22 '20 at 09:29
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I think I can prove this inequality holds unconditionally for all $d>0$ and all $t>0$ and the bound on $t\geq\lceil\log_2d\rceil$ does not matter. – Turbo Jan 22 '20 at 09:31
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@T.... Then you should give an answer to your own qusetion. – Paul Frost Jan 22 '20 at 09:42
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I meant if $t\in\mathbb Z$ also holds. – Turbo Jan 22 '20 at 10:22