All Questions
14
questions
0
votes
1
answer
85
views
Problem with For Loop when evaluating a recursive function at multiple points
I am running into problems with my For loop when trying to evaluate my expression. Fix some parameter values :
...
- 3
2
votes
0
answers
113
views
Finding recurrence relation from an inexact numerical sequence
Consider the recurrence relationship
d[0] = 0;
d[i_] := (1 + Sqrt[1 + 4 d[i - 1]^2])/2 /; i >= 1
which generates the following sequence (generated by using <...
- 489
1
vote
2
answers
156
views
Recursive sequence with RecurenceTable
I want to compute elements of a recursive sequence and use them as coefficients of a power series. However, the (i+1)-th element depends on all previous elements. Writing this as a sum in ...
- 123
4
votes
3
answers
481
views
Slow computation of recursive sequences
I want to investigate the asymptotic behavior of the following recursive system:
...
- 245
0
votes
0
answers
113
views
How to convert a symbolic recursive formula to a non-recursive one
I am new to Mathematica. I want to convert a recursive formula to a non-recursive one using symbolic math. Specifically, I have a recursive formula similar to this:
$a_n = f_a(c_{n-1}, x_{n-1})$
$...
- 101
1
vote
2
answers
204
views
Computing recursive sequence [duplicate]
I would like to compute a[1000] of the following recursive sequence
a[1] = 1;
a[n_] := a[n - 1] + 1/a[n - 1]^2
but it takes a long time for computing even small ...
- 233
1
vote
3
answers
212
views
Finding a sequence with RecurrenceTable
I would appreciate if somebody could help me with the following problem:
Q: How can the following recursion equations be solved using RecurrenceTable?
$\...
- 269
1
vote
2
answers
1k
views
How to define a recursive sequence
I would appreciate if somebody could help me with the following problem:
Q: How to define this in Mathematica.
$$a_{n+1}=\begin{cases} a_{n} & ,a_{n} \ge n\\
2n-a_{n}& ,a_n<n \end{cases}...
- 269
3
votes
1
answer
167
views
Taking a long time to produce output
In the following, I want to know b[1000],
but it is taking a very long time even for b[30].
Please help
...
- 942
3
votes
3
answers
144
views
A Fibonacci growth problem
I would like to measure the first column vector as defined here using Mathematica. The list formed of the sum of the adults and infants at each period is a Fibonacci sequence.
$\qquad
%Translator ...
- 746
5
votes
2
answers
2k
views
How to find a recurrence relation for a numerical sequence?
This question was inspired by Vladimir Reshetnikov's question (How to find a recurrence relation for a sequence?):
Given a finite sequence of numbers, how can we find in MMA a recurrence relation ...
- 13.1k
7
votes
1
answer
690
views
How to find a recurrence relation for a sequence?
I have a sequence given by an explicit formula for n-th term:
...
- 7,273
1
vote
1
answer
378
views
Defining a recursive integral sequence
I have a recursive integral sequence as follows:
$$y_0(x)=1+r,$$
$$y_1(x)=-\frac{1}{\Gamma(a)}\int_0^x (x-t)^{a-1} y_0(t) dt,$$
$$\vdots$$
$$y_n(x)=-\frac{1}{\Gamma(a)}\int_0^x (x-t)^{a-1} y_{n-1}(t) ...
- 155
4
votes
3
answers
331
views
Long waiting time for computing a summation
It takes a long time to compute the summation below, and I'd like to know if there are alternative ways
to compute things faster. When replacing $15$ by $\infty$, then I should get $3^{1/3}$. I need ...
- 1,415