# Tagged Questions

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

40 views

### Trying to understand Function with Sequence, Map and Block (FormCalc, FeynArts)

I am trying to understand some functions of FeynArts and FormCalc (http://www.feynarts.de/), but I don't have a clue what this function does (in Analytic.m): ...
136 views

### FindSequenceFunction for sum of hypergeometric terms?

The built-in function FindSequenceFunction is quite good at recognizing hypergeometric terms, i.e. terms $c_k$ for which $c_{k+1}/c_k$ is a rational function of $k$....
238 views

### Unexpected behavior of Sequence — using Sequence to delete parts of an expression

I thought that assigning Sequence[] to the part of an expression was an effective way to remove it. For example, the following code yields {2,3,4,5}: ...
41 views

### Find the Kimberling Sequence

How to find the Kimberling Sequence by using Mathematica? each row is obtained from the previous by boxing (and expelling) the main diagonal element, and then reading the first number after the ...
37 views

### Pattern match Shortest BlankNullSequence in SequencePosition

Apologies if this has an answer somewhere but I can't find it. From the examples for SequencePosition we are shown that ...
58 views

...
80 views

### Generating a sequence of lists [closed]

I have learnt how to generate a sequence of numbers, but now I come across a question whether it is possible to generate e sequence of lists. Say, I would like to generate {1},{1,2},{1,2,3},...,{1,2,3,...
13 views

### How to match sum of two or more objects? [duplicate]

I am trying to match expressions that are the sum of two or more objects with a specific head. However I can not get this work properly. For example ...
84 views

### An unexpected match when using Condition, Optional and passing a Sequence

Mathematica is behaving in an expected way when passing a parameter with an Optional and a Sequence. Here is an example: ...
366 views

### 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: ...
225 views

### Limit n->Infinity of recursive sequence

I have defined a recursive sequence a[0] := 1 a[n_] := Sqrt[3] + 1/2 a[n - 1] because I want to calculate the Limit for this ...
901 views

### 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. ...
118 views

### How can I make custom accumulated sequences like the following?

First of all, I don't really know how to formulate the question, so if you understand my question and know a better way to phrase it, please revise. I have the following Matrixes: ...
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 ...
355 views

### Match a sequence of integers

I would to match a pattern p1 = 0,0,1,0,0 to the elements in listA. The elements are a boolean sequence that may look like this ...
85 views

### How to animate a graph generated by ListPlot command point by point?

I was wondering if it is possible to animate the following graph. The command used to generate the graph is the following: ...
32 views

### If the pattern changes in a nested List

I have a nested list in which part 2 of each sublist repeats itself a number of times before changing, i need an if condition for when part 2 of the next sublist changes from the prevous sublist. ex....
548 views

### Limit of sequence

I tried to calculate the following limit $$\lim_{n\to\infty}n\sin(2\pi en!)$$ Mathematica gets ...
241 views

### How to find a recurrence relation for a sequence?

I have a sequence given by an explicit formula for n-th term: ...
57 views

### SimilarityRules for SequenceAlignment of two lists

I am trying to use the SimilarityRules option of SequenceAlignment to customize its output. This works perfectly for strings, ...
337 views

### Find a sequence given the sums of its terms

For a certain sequence of numbers, the sum of the first $n$ numbers in the sequence is given by $n^3+4n$ for all positive integers $n$. What is the fifteenth number in the sequence? How do you solve ...
102 views

### Find subsequence A in sequence B A007908 - OEIS

I have sequence A as A007908 - OEIS and pattern B which is a sub-sequence of that sequence A. I need to find index of first occurrence of the given pattern. For example pattern ..1010... I've looked ...
122 views

### How to deduce the Ramanujan's summation of this series?

I have already asked a similar question about Ramanujan's summation in general but received no good answers. Now I am interested in this exact series: $$\sum _{n\ge1}^\Re (24 n + 12 n^2)$$
1k views

### What happens when you divide by ##?

I've been playing around with sequences a bit. In particular with using ## with unary and binary operators. Let's start simple, the following all make some kind of ...
307 views

### Empty Blank regression in v10.1

Bug introduced in 10.1 and fixed in 10.2.0 In v10.1.0.0 on Linux, when Blank[] is used in Alternatives with pattern that can ...
142 views

### How can I use sequence in plotting domain?

I would like to plot a function but have a domain defined elsewhere as follows: xrange = Sequence[0, 2Ï€]; Plot[Sin[x], {x, xrange}] However, this doesn't work ...
46 views

### Compute an indefinite sequence of And

I would like to compute a condition of normalization over a set of vectors which has the form $$(x_1.x_1 =1 ) \land ...\land (x_n.x_n=1)$$ Where the $x_i$ are vectors, and $n$ is a variable fixed at ...
67 views

### Change input parameter order in a function

I'm a beginner in Mathematica programming and I'm trying to understand how input parameters work in Mathematica's function. I encountered a problem with the sequence/order of the input parameters of ...
62 views

### Beginner: Iterative Sequence for Vector Function

I want to create an iterative sequence for two Vectorfunctions, where both are dependent on the same variables and i represents the vector. For simplicity let's ...
573 views

### 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 ...
327 views

### 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 ...
66 views

### Compute and Plot the element of a complex sequence

I'm new tho mathematica. I have a complex sequence ${z_n}$ with $z_0:=c$ $z_{n+1}=(z_n)^2+c$ for all $n\in N$ where c is some complex number, I need to plot the first 20 terms of this sequence ...
294 views

### 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 ...
220 views

...
74 views

### Plotting non-linear recursive sequence

I'm a total noob with Mathematica, and while trying to plot the following, I get several error messages. What am I doing wrong? ...
341 views

### 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,...}, ...
48 views

### Sequence not working in Manipulate?

I have a function that I would like to construct the Manipulate parameter list with Sequence. This is a simpler example but it ...
103 views

### Find algorithm or generator formula with automated procedure and pattern recognition

I am trying to find a generator formula for the discriminant of a polynomial and believe it would be an interesting problem for the Mathematica community to know how to automate evaluation of certain ...
39 views

### Imploying a sequence in a series

I would like to have the following sequence, $(a)_n$, in a series where $a_0 = 1$ and $a_n = a(a+1)\cdots (a+ n -1)$. The series I have is $$2\sum_{n=0}^{\infty}\frac{(1/2)_n}{n!(2n+1)^3}$$ I know ...
58 views

### pattern matching and applying a function, not working as expected [duplicate]

Consider the following code G[x, y] /. a_[b__] -> Total[a @@@ Permutations[List[b]]] I expect it to give G[x, y]+G[y,x] ...
90 views

### How to define the symbolic expression $V = \frac{1}{N} \sum_{i=1}^N ( y_i(g) - z_i)^2$ in Mathematica?

I want to define this expression symbolically: $V = \frac{1}{N} \sum_{i=1}^N ( y_i(g) - z_i)^2$ in which $\{y_i(g)\}_{i=1}^N$ is to be understood as a symbolic sequence that depends on a vector $g$. ...
272 views

### How to get mathematica to show limit of a recurrence sequence?

I want to find the limit of a such a sequence: $f(n+1)=\sqrt{2f(n)-1}, \, f(0)=a, a>1$ How does one do this? Is it possible to have it show the solution algebraically, like it does with ...
164 views

### Tangled up in sequences and recurrence relations

I took a trip through sequences and recurrence relations and I got tangled up since the documentation didn't help much. I'm sure you can. Given a sequence ...
93 views

### Number of sequences with a certain condition

Suppose I have the sequence {2, 4, 6, 8, 10, 12, 14, 16}. How could I calculate the number of tuples so that for every term save the first one, the difference from ...
142 views

### Can you compute more terms in this sequence?

I am trying to identify a sequence related to the von Mangoldt function matrix. Since I believe/conjecture that the columns in the matrix have period lengths as in this sequence b: ...
370 views

### Sequence generation

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}\...
70 views

### Sequence not working as expected [duplicate]

From the help page: f[a, Sequence[b, c], d] No problem at all. ...
425 views

### Repeating Digits

I have written ...