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49.1 Functions and Variables for ggf |

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__Option variable:__**GGFINFINITY**Default value: 3

This is an option variable for function

`ggf`

.When computing the continued fraction of the generating function, a partial quotient having a degree (strictly) greater than

`GGFINFINITY`will be discarded and the current convergent will be considered as the exact value of the generating function; most often the degree of all partial quotients will be 0 or 1; if you use a greater value, then you should give enough terms in order to make the computation accurate enough.See also

`ggf`

.

__Option variable:__**GGFCFMAX**Default value: 3

This is an option variable for function

`ggf`

.When computing the continued fraction of the generating function, if no good result has been found (see the

`GGFINFINITY`flag) after having computed`GGFCFMAX`partial quotients, the generating function will be considered as not being a fraction of two polynomials and the function will exit. Put freely a greater value for more complicated generating functions.See also

`ggf`

.

__Function:__**ggf***(*`l`)Compute the generating function (if it is a fraction of two polynomials) of a sequence, its first terms being given.

`l`is a list of numbers.The solution is returned as a fraction of two polynomials. If no solution has been found, it returns with

`done`

.This function is controlled by global variables

`GGFINFINITY`and`GGFCFMAX`. See also`GGFINFINITY`and`GGFCFMAX`.To use this function write first

`load("ggf")`

.

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