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comment Are there good bounds on binomial coefficients?
@kodlu It does, I'm sure, but I haven't gotten back to that application just yet. But it is definitely the type of result I was missing.
1d
accepted Are there good bounds on binomial coefficients?
Apr
19
comment Are there good bounds on binomial coefficients?
Stirling's formula is indeed awesome, but it leaves one with $k^k$ and $(n-k)^{n-k}$ factors which are too cumbersome to work with in my application.
Apr
18
awarded  Nice Question
Apr
18
asked Are there good bounds on binomial coefficients?
Apr
17
awarded  Custodian
Apr
17
reviewed Close Is the set of Cauchy spaces a lattice?
Apr
17
reviewed Leave Open Optimization with vectors
Apr
17
comment Estimate of incomplete binomial integral
No, they don't seem relevant to me, either. But my first step was to track it down and see what was there. I posted the link for the convenience of the next reader.
Apr
17
comment Estimate of incomplete binomial integral
The integral is $B_{k/(n+1)}(k+1,n-k+1)$, in the notation of the Wolfram site. Various transformations and identities (though nothing obviously relevant) are cataloged here: functions.wolfram.com/GammaBetaErf/Beta3
Apr
17
revised What is the smallest x such that [x^n] has the same parity as n?
updated report of computations.
Apr
17
comment On the parity of $[x^n]$
Is the parenthetical comment supposed to be obvious? It's clear to me that we can start with any finite binary sequence, but ``the $x$ that satisfy the first $n$ constraints'', while nonempty for each $n$, may have empty intersection, as far as I can tell.
Apr
17
comment On the parity of $[x^n]$
Every element of $(-1,0)$ has this property.
Apr
17
answered What is the smallest x such that [x^n] has the same parity as n?
Mar
19
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Mar
7
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Feb
24
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Dec
31
comment Pade approximant to exponential function
(i) is immediate, the others (if true) would seem to require some work.
Oct
29
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