# Tagged Questions

Questions on specifying order in and splicing of lists, including use of Mathematica Sequence objects.

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### Performance problems in new Sequence functions

The new-in-10.1 Sequence* family of functions should provide newly optimized methods for handling sequence problems. Happily in some cases they do! For example ...
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### how can I solve integrals including recursion of some sequences of functions

I would like to solve the equations as given below in mathematica. I have written some codes before but I have no idea when there is sub indexing to indicate the series of functions. I will be very ...
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### How can I tally continuous sequences in a list?

I have a stream of data like this: 0001100111100000111111001110000001111111111000000111000111110000... (I can represent them as a list, like in {0,0,0,1,1,...}, ...
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### Positions of elements in the initial flattened list in a split list

Say, we have a list: m1 = {2, 2, 7, 0, 7, 7, 2, 2, 2} It can be split easily: ...
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### How to implement symbolic Ramanujan's summation in Mathematica?

How to implement Ramanujan's summation in symbolic form in Mathematica? For instance, I want as input the function $f(x)=x$, as output $-1/12$, as input $f(x)=1/x$, as output $\gamma$ (Euler's ...
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### Counting subsequences (i.e., patterns) within a list?

I would like to count the number of subsequences in list. Say I have data given by: data = {1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1}; I would like to count the number ...
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### Find the domain in which a sequence converges

I seem to have a lot of problems in the format of: Given the sequence $a_n=\frac{n^\alpha+1}{2n^8+5}$, for $\alpha > 0$, find the values of $\alpha$ such that the sequence converges. However, ...
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### How can I return a Sequence?

Recently I had the need to redefine a certain symbol in my init.m so it would be automatically omitted from any lists it appears in. I decided to redefine it to an empty sequence, e.g. ...
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### How to find a recurrence relation for a sequence?

I have a sequence given by an explicit formula for n-th term: ...
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### How to find a recurrence relation for a numerical sequence?

This question was inspired by Vladimir Reshetnikov's question (How to find a recurrence relation for a sequence?): Given a finite sequence of numbers, how can we find in MMA a recurrence relation ...
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If I wanted to generate a sequence that follows the pattern $$x_{n}=x_{n-1}+\dfrac{1}{2}\left(\sqrt{1-y_{n-1}\ ^{2}}-x_{n-1}\right)\\ y_{n}=y_{n-1}+\dfrac{1}{2}\left(\sqrt{1-x_{n}\ ^{2}}-y_{n-1}\... 3answers 95 views ### Using a piecewise defined sequence, find all x_0 Given 0\le x_0<1, let$$x_n=\begin{cases} 2x_{n-1}, & \text{if $2x_{n-1}<1$}\\ 2x_{n-1}-1, & \text{if $2x_{n-1}\ge 1$} \end{cases} for all integers $n>0$. For how many $x_0$ is ...
This question is related to: Composition of functions using slots Slot (#) interfering with evaluation Consider a toy example: ...