Newbetuts

Is $\lim\limits_{k \to \infty}\left[ \lim\limits_{p \to \infty} \frac{M}{1+3+5+\cdots+ [2^{p(k-1)}-2^{p(k-2)}-2^{p(k-3)}-\cdots-1]}\right]=1$?

How to deal with this double summation?

Find the maximum of the expression

Algebraic proof of $\sum_{i=0}^k{{n \choose i}{m \choose {k-i}}}= {{m+n}\choose k}$

Evaluating $3\lfloor{\frac{n}{2}}\rfloor + 6\lfloor{\frac{n}{2}}\rfloor (n - \lfloor{\frac{n}{2}}\rfloor -1)$ [closed]

Recent Question in American Math Monthly, proposed by Donald Knuth

Sum of combinations of n taken k where k is from n to (n/2)+1

Limit of a sum (no probabilities)

Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$

Evaluate $\sum\limits_{n=1}^{\infty}\frac{1}{n^3}\binom{2n}{n}^{-1}$. [duplicate]

Interpreting formulas with $\Sigma \Sigma$ (two sigma)

A conjecture including binomial coefficients

Chain rule for discrete/finite calculus

Derivative of a summation in order to minimize

Limit $\lim_{n\to\infty}\sum_{k=0}^n\frac{n^{2k}}{(k!)^2}\big/\sum_{k=0}^\infty\frac{n^{2k}}{(k!)^2}$

Sum with binomial coefficients and a square root

New posts in summation

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How to write an "index set"

Is $\lim\limits_{k \to \infty}\left[ \lim\limits_{p \to \infty} \frac{M}{1+3+5+\cdots+ [2^{p(k-1)}-2^{p(k-2)}-2^{p(k-3)}-\cdots-1]}\right]=1$?

How to deal with this double summation?

Find the maximum of the expression

Algebraic proof of $\sum_{i=0}^k{{n \choose i}{m \choose {k-i}}}= {{m+n}\choose k}$

Evaluating $3\lfloor{\frac{n}{2}}\rfloor + 6\lfloor{\frac{n}{2}}\rfloor (n - \lfloor{\frac{n}{2}}\rfloor -1)$ [closed]

Recent Question in American Math Monthly, proposed by Donald Knuth

Sum of combinations of n taken k where k is from n to (n/2)+1

Limit of a sum (no probabilities)

Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$

Evaluate $\sum\limits_{n=1}^{\infty}\frac{1}{n^3}\binom{2n}{n}^{-1}$. [duplicate]

Interpreting formulas with $\Sigma \Sigma$ (two sigma)

A conjecture including binomial coefficients

Chain rule for discrete/finite calculus

Derivative of a summation in order to minimize

Limit $\lim_{n\to\infty}\sum_{k=0}^n\frac{n^{2k}}{(k!)^2}\big/\sum_{k=0}^\infty\frac{n^{2k}}{(k!)^2}$

Sum with binomial coefficients and a square root