<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>

# Questions tagged [sequences-and-series]

The tag has no usage guidance.

816 questions
85 views

69 views

106 views

### Simplify a double summation involving binomial coeficient

$$T(N,K)=\sum_{i=2}^{K}\sum_{j=2}^{i}(-1)^{i-j}\binom{i}{j}\frac{j^{N+1}-1}{j-1}$$ Is it possible to evaluate the sum for $K=10^7$ efficiently. If we manage to remove one of the sums, it will be ...
42 views

### Convergence of a recursion in $L^1(0,1)$

Let $\mu_0>0$, $a>0$, $b>0$, and $f(t)$, $g(t)>0$, $p(t)$ be some continuously differentiable functions over $\mathbb{R}$. I am looking for various tools to study the stability of the ...
465 views

### Integer but not Laurent sequences

Are there any sequence given by a recurrence relation: $x_{n+t}=P(x_t,\cdots,x_{t+n-1})$, where $P$ is a positive Laurent Polynomial, satisfy: if $x_0=\cdots=x_{n-1}=1$, then the sequence is only ...

15 30 50 per page
特码生肖图
<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>

<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>