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A001319
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Number of (unordered) ways of making change for n cents using coins of 2, 5, 10, 20, 50 cents.
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3
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1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 13, 7, 13, 7, 13, 13, 13, 13, 13, 13, 22, 13, 22, 13, 22, 22, 22, 22, 22, 22, 35, 22, 35, 22, 35, 35, 35, 35, 35, 35, 53, 35, 53, 35, 53, 53, 53, 53, 53, 53, 77, 53, 77
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OFFSET
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0,11
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COMMENTS
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Number of partitions of n into parts 2, 5, 10, 20, and 50. - Joerg Arndt, Sep 05 2014
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 316.
G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1).
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MAPLE
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1/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)
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MATHEMATICA
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CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^10) (1 - x^20) (1 - x^50)), {x, 0, 50}], x]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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