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for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.

2 votes
1 answer
226 views

A problem of divisibility

I came across the following problem. Find two integers, $u_{n}$ and $v_{n}$, such that $$a_{n}=4u_{n}v_{n}+(6n-1)v_{n}+(6n-1)u_{n}+8n^{2}-4n$$ divides $$b_{n}=-(2n-1)u_{n}v_{n}-(2n^{2}-3n)v_{n}-(2n …
0 votes
1 answer
132 views

Solution of certain forms of equations

I ask about a possible method to find the solution of algebraic equations of the form $axⁿ+byⁿ+c=0$ where $a,b,c,x,y$ are real constants and $n$ is an integer. Maybe there is a simple method, but I …