Thanks! _ will use that.

On Friday, March 19, 2021 at 8:07:07 PM UTC-4 smi...@gmail.com wrote:

> See `npartitions` in sympy/ntheory/partitions_.py 
> <https://github.com/sympy/sympy/blob/706007ca2fe279020e099d36dd1db0e33123ac4c/sympy/ntheory/partitions_.py>
>
> >>> npartitions(10**3)
> 24061467864032622473692149727991
>
> /c
> On Friday, March 19, 2021 at 6:43:55 PM UTC-5 rocky.b...@gmail.com wrote:
>
>> A little background first... 
>>
>> I have been working on Mathics, <https://mathics.org/> a open-source 
>> implementation of the Wolfram Language.
>>
>> Mathics relies heavily on sympy.  
>>
>> For a little while I have been working on ensuring that Steve Skiena's 
>> Combinatorica  
>> <https://www.abebooks.com/servlet/BookDetailsPL?bi=30794099489&searchurl=isbn%3D0201509431%26sortby%3D17&cm_sp=snippet-_-srp1-_-title1>
>>  works 
>> on Mathics. In doing this, I was looking for a sympy equivalent to 
>> PartitionsP[]  
>> <https://reference.wolfram.com/language/ref/PartitionsP.html>. 
>>
>> I couldn't find anything so initially I was generating all of the 
>> partitions using sympy.utilities.iterables.partitions and then taking 
>> the length.
>>
>> This is horribly inefficent. Therefore I thought, I'd use the algorition 
>> in Skiena's book which makes use of Euler's recurrence for the number of 
>> partitions.
>>
>> It took a little bit of tweaking to get it to be reasonably efficient in 
>> Python. The current impelemtation  is here 
>> <https://github.com/mathics/Mathics/blob/master/mathics/builtin/combinatorial.py#L105-L136>
>> .
>>
>> This might be of interest and use in sympy as well,  so I'd like to 
>> mention it here. 
>>
>> And if there is already such a routine in sympy, I'd would be grateful to 
>> know about. 
>>
>> Thanks.
>>
>

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