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=== 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:

{{Parameter names example| 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}}

<pre>
{{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 =
}}
</pre>

==== 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 <math>n</math>-th element) is usually denoted. For example, <math>n!</math> 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 <math>n</math>-th element of the sequence. (e.g. for fibonnaci number, it would be <math>\frac{1}{\sqrt5}\left(\left(\frac{1+\sqrt 5}{2}\right)^n+\left(\frac{1-\sqrt 5}{2}\right)^n\right)</math>)
* '''asymptotic''' — A function with the same domain than the sequence, which is asymptotically equivalent to it. (e.g. for fibonnaci number, it would be <math>\frac{1}{\sqrt5}\left(\left(\frac{1+\sqrt 5}{2}\right)^n\right)</math>)
* '''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 header|noheader=1}}
<templatedata>
{
	"params": {
		"box_width": {},
		"name": {
			"label": "Name",
			"description": "Name at the top of the infobox; should be the name of the sequence, without the word sequence",
			"example": "Fibonnacci"
		},
		"notation": {},
		"intro": {},
		"parameters": {},
		"support": {
			"description": "Where the sequence is defined and non-zero.",
			"example": "The even numbers. The prime numbers"
		},
		"nth element": {},
		"asymptotic": {
			"description": "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"
		},
		"OGF": {
			"description": "The ordinary generating function of the sequence"
		},
		"radius_OGF": {
			"label": "its radius",
			"description": "radius of convergence of the OGF",
			"example": "1",
			"type": "number"
		},
		"EGF": {
			"description": "The exponential generating function of the sequence"
		},
		"radius_EGF": {
			"description": "the radius of convergence of the EGF"
		},
		"PGF": {
			"description": "The poisson generating function of the sequence"
		},
		"radius_PGF": {
			"description": "the radius of convergence of the PGF"
		},
		"LS": {
			"description": "The Lambert series of the sequence"
		},
		"radius_LS": {
			"description": "the radius of convergence of the LS"
		},
		"BS": {
			"description": "The Bell series of the sequence"
		},
		"radius_BS": {
			"description": "the radius of convergence of the BS"
		},
		"DGF": {
			"description": "The Dirichlet series generating functions of the sequence"
		},
		"radius_DGF": {
			"description": "the radius of convergence of the DGF"
		},
		"PSGF": {
			"description": "The Polynomial Sequence Generating Function of the sequence"
		},
		"radius_PSGF": {
			"description": "the radius of convergence of the PSGF"
		}
	},
	"format": "inline"
}
</templatedata>
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