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FrobeniusSolve

FrobeniusSolve
gives a list of all solutions of the Frobenius equation .
FrobeniusSolve
gives at most m solutions.
  • The Frobenius equation is the Diophantine equation , where the are positive integers, b is an integer, and a solution must consist of non-negative integers. For negative b there are no solutions.
All solutions of the Frobenius equation :
Check:
All solutions of the Frobenius equation :
In[1]:=
Click for copyable input
Out[1]=
Check:
In[2]:=
Click for copyable input
Out[2]=
Reduce may also be used to find the solutions to the Frobenius equation:
FrobeniusSolve returns the same solution set:
FrobeniusSolve gives coefficient lists for IntegerPartitions:
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