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单词 Partition Function Q
释义

Partition Function Q

gives the number of ways of writing the Integer as a sum of Positive Integerswithout regard to order with the constraint that all Integers in each sum are distinct. The values for, 2, ... are 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, ... (Sloane's A000009). The Generating Function for is



The values of for which is A046065), withno others for .


The number of Partitions of with summands is denoted or. Therefore, and


See also Partition Function P


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Partitions into Distinct Parts.'' §24.2.2 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 823-824, 1972.

Sloane, N. J. A. SequencesA046065 andA000009/M0281in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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