Template:Infobox combinatorial classes

{{{name}}} ({{{notation}}})
{{{intro}}}
Parameters	{{{parameters}}}
Support	{{{support}}}
Asymptotic	{{{asymptotic}}}
Ordinary generating function	{{{OGF}}}
radius of convergence of the OGF	{{{OGF radius}}}
Exponential generating function	{{{EGF}}}
its radius	{{{EGF radius}}}
Poisson generating function	{{{PGF}}}
Lambert series	{{{LS}}}
its radius	{{{LS radius}}}
Bell series	{{{BS}}}
its radius	{{{BS radius}}}
Dirichlet series generating function	{{{DGF}}}
Polynomial sequence generating function	{{{PSGF}}}
its radius	{{{PSGF radius}}}
	{{{PGF radius}}}

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This template uses TemplateStyles:

Template:Infobox combinatorial classes/styles.css^[e]

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:

{{Infobox combinatorial classes
| name        = 
| notation    =
| intro       =
| parameters  =
| nth_element =
| asymptotic  =
| support     =
| OGF         =
| OGF radius  =
| EGF         =
| EGF radius  =
| PGF         =
| PGF radius  =
| LS          =
| LS radius   =
| BS          =
| BS radius    =
| DGF         =
| DGF radius  =
| PSGF        =
| PSGF radius =
}}

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

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[Edit template data]
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

The above documentation is transcluded from Template:Infobox combinatorial classes/doc.
Editors can experiment in this template's sandbox and testcases pages.
Add categories to the /doc subpage. Subpages of this template.

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Template:Infobox combinatorial classes

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