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Package sage :: Package combinat :: Module sloane_functions :: Class A000001
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Class A000001

source code

                      object --+        
                               |        
structure.sage_object.SageObject --+    
                                   |    
                      SloaneSequence --+
                                       |
                                      A000001
Instance Methods [hide private]
 
__init__(self)
Number of groups of order $n$.		 source code
 
_repr_(self)
EXAMPLES:...		 source code
 
_eval(self, n)
EXAMPLES:...		 source code

Inherited from SloaneSequence: __call__, __cmp__, __getitem__, __iter__, list

Inherited from structure.sage_object.SageObject: __hash__, __new__, __repr__, _axiom_, _axiom_init_, _gap_, _gap_init_, _gp_, _gp_init_, _interface_, _interface_init_, _interface_is_cached_, _kash_, _kash_init_, _macaulay2_, _macaulay2_init_, _magma_, _magma_init_, _maple_, _maple_init_, _mathematica_, _mathematica_init_, _maxima_, _maxima_init_, _octave_, _octave_init_, _pari_, _pari_init_, _r_init_, _sage_, _singular_, _singular_init_, category, db, dump, dumps, plot, rename, reset_name, save, version

Inherited from object: __delattr__, __getattribute__, __reduce__, __reduce_ex__, __setattr__, __str__

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self)
(Constructor)

source code  

Number of groups of order $n$.

Note: The database_gap-4.4.9 must be installed for $n > 50$.

run \code{sage -i database_gap-4.4.9} or higher first.

INPUT:
    n -- positive integer

OUTPUT:
    integer

EXAMPLES:
    sage: a = sloane.A000001;a
    Number of groups of order n.
    sage: a(0)
    Traceback (most recent call last):
    ...
    ValueError: input n (=0) must be a positive integer
    sage: a(1) #optional database_gap
    1
    sage: a(2) #optional database_gap
    1
    sage: a(9) #optional database_gap
    2
    sage: a.list(16) #optional database_gap
    [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14]
    sage: a(60)     # optional
    13

AUTHOR:
    -- Jaap Spies (2007-02-04)
Overrides: SloaneSequence.__init__

_repr_(self)

source code  

EXAMPLES:
    sage: sloane.A000001._repr_()
    'Number of groups of order n.'
Overrides: SloaneSequence._repr_

_eval(self, n)

source code  

EXAMPLES:
    sage: sloane.A000001._eval(4)
    2
    sage: sloane.A000001._eval(51) #optional requires database_gap
Overrides: SloaneSequence._eval

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