Template:Infobox combinatorial classes/doc

Usage

The Template:infobox combinatorial classes generates a right-hand side infobox, based on the specified parameters. To use this template, copy the following code in your article and fill in as appropriate:

{{{name}}} ({{{notation}}})

{{{intro}}}
Parameters	{{{parameters}}}
Support	{{{support}}}
Asymptotic	{{{asymptotic}}}
Ordinary generating function	{{{OGF}}}
Exponential generating function	{{{EGF}}}
Poisson generating function	{{{PGF}}}
Lambert series	{{{LS}}}
Bell series	{{{BS}}}
Dirichlet series generating function	{{{DGF}}}
Polynomial sequence generating function	{{{PSGF}}}

{{Infobox combinatorial classes
| name        = 
| notation    =
| intro       =
| parameters  =
| nth_element =
| asymptotic  =
| support     =
| OGF         =
| radius_OGF  =
| EGF         =
| radius_EGF  =
| PGF         =
| radius_PGF  =
| LS          =
| radius_LS   =
| BS          =
| radius_BS   =
| DGF         =
| radius_DGF  =
| PSGF        =
| radius_PSGF =
}}

Parameters

• name — Name at the top of the infobox; should be the name of the sequence, without the word sequence. (e.g. "Fibonnacci", "Factorials")
• notation — How the sequence (or its $n$-th element) is usually denoted. For example, $n!$ for the sequence of factorials.
• parameters — parameters of the sequence family.
• support — Where the sequence is defined and non-zero. (e.g. it is the place to state that a sequence has only value at even position, or at prime positions.)
• nth element — The place to give the exact value of the $n$-th element of the sequence. (e.g. for fibonnaci number, it would be ${\frac {1}{\sqrt {5}}}\left(\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}+\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}\right)$)
• asymptotic — A function with the same domain than the sequence, which is asymptotically equivalent to it. (e.g. for fibonnaci number, it would be ${\frac {1}{\sqrt {5}}}\left(\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\right)$)
• OGF, EGF, PGF, LS, BS, DGF, PSGF are defined as in the page Generating function
• OGF radius, EGF radius, PGF radius, LS radius, BS radius, DGF radius, PSGF radius the radius of the previously defined functions

TemplateData

TemplateData

This is the TemplateData for this template used by TemplateWizard, VisualEditor and other tools. See a monthly parameter usage report for Template:Infobox combinatorial classes in articles based on its TemplateData. TemplateData for Infobox combinatorial classes No description. Template parameters This template prefers inline formatting of parameters. Parameter Description Type Status box_width box_width no description Unknown optional Name name Name at the top of the infobox; should be the name of the sequence, without the word sequence Example Fibonnacci Unknown optional notation notation no description Unknown optional intro intro no description Unknown optional parameters parameters no description Unknown optional support support Where the sequence is defined and non-zero. Example The even numbers. The prime numbers Unknown optional nth element nth element no description Unknown optional asymptotic asymptotic A function with the same domain than the sequence, which is asymptotically equivalent to it. Example <math>\frac{1}{\sqrt5}\left(\left(\frac{1+\sqrt 5}{2}\right)^n\right)</math> for Fibonnacci Unknown optional OGF OGF The ordinary generating function of the sequence Unknown optional its radius radius_OGF radius of convergence of the OGF Example 1 Number optional EGF EGF The exponential generating function of the sequence Unknown optional radius_EGF radius_EGF the radius of convergence of the EGF Unknown optional PGF PGF The poisson generating function of the sequence Unknown optional radius_PGF radius_PGF the radius of convergence of the PGF Unknown optional LS LS The Lambert series of the sequence Unknown optional radius_LS radius_LS the radius of convergence of the LS Unknown optional BS BS The Bell series of the sequence Unknown optional radius_BS radius_BS the radius of convergence of the BS Unknown optional DGF DGF The Dirichlet series generating functions of the sequence Unknown optional radius_DGF radius_DGF the radius of convergence of the DGF Unknown optional PSGF PSGF The Polynomial Sequence Generating Function of the sequence Unknown optional radius_PSGF radius_PSGF the radius of convergence of the PSGF Unknown optional