Table of values and graph of a recurrent sequence : tableseq and plotseq

### 2.13.2 Table of values and graph of a recurrent sequence : `tableseq` and `plotseq`

`tableseq` is a command that should be used inside a spreadsheet (opened with `Alt+t`), it returns a template to fill one column with `u``0``, u``n+1``=f(u``n``)` (one-term recurrence) or more generally u0,...,uk, un+k+1=f(un,un+1,...,un+k). The template fills the column starting from the selected cell, or starting from 0 if the whole column was selected.
See also `plotseq` (section 3.13) for a graphic representation of a one-term recurrence sequence.

Examples :

- display the values of the sequence u0=3.5, un=sin(un−1)
  Select a cell of the spreadsheet (for example `B0`) and input in the command line :
  `tableseq(sin(n),n,3.5)`
  Output :
  `a column with sin(n), n, 3.5 and the formula evalf(subst(B$0,B$1,B2))`
  You get the values of the sequence `u``0``=3.5, u``n``=sin(u``n-1``)` in the column `B`.
- display the values of the Fibonacci sequence u0=1, u1=1 un+2=un+un+1
  Select a cell, say `B0`, and input in the command line
  `tableseq(x+y,[x,y],[1,1])`
  This fills the B column sheet with

  `row` | `B`
  `0` | `x+y`
  `1` | `x`
  `2` | `y`
  `3` | `1`
  `4` | `1`
  `5` | `2`
  `..` | `..`
  `7` | `5`
  `..` | `..`