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Search: id:A001306
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| A001306 |
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Number of ways of making change for n cents using coins of 1, 5, 10, 20, 50, 100 cents. |
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+0
1
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| 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14, 20, 20, 20, 20, 20, 26, 26, 26, 26, 26, 35, 35, 35, 35, 35, 44, 44, 44, 44, 44, 57, 57, 57, 57, 57, 70, 70, 70, 70, 70, 88
(list; graph; listen)
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OFFSET
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0,6
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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. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1.
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 179
Index entries for sequences related to making change.
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MAPLE
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1/(1-x)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)/(1-x^100)
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MATHEMATICA
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CoefficientList[ Series[ 1 / ((1 - x)(1 - x^5)(1 - x^10)(1 - x^20)(1 - x^50)(1 - x^100)), {x, 0, 60} ], x ]
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CROSSREFS
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Adjacent sequences: A001303 A001304 A001305 this_sequence A001307 A001308 A001309
Sequence in context: A130496 A001299 A001300 this_sequence A108105 A063468 A010336
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KEYWORD
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nonn
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AUTHOR
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njas
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