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

### 4.13.2 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 u0, un+1=f(un) (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 5.13) 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 u0=3.5, un=sin(un-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
  .. | ..