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Search: id:A001299
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| A001299 |
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Number of ways of making change for n cents using coins of 1, 5, 10, 25 cents. |
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+0
4
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| 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 13, 13, 13, 13, 13, 18, 18, 18, 18, 18, 24, 24, 24, 24, 24, 31, 31, 31, 31, 31, 39, 39, 39, 39, 39, 49, 49, 49, 49, 49, 60, 60, 60, 60, 60, 73, 73, 73
(list; graph; listen)
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OFFSET
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1,6
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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 175
Index entries for sequences related to making change.
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FORMULA
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G.f.: 1/((1-x)*(1-x^5)*(1-x^10)*(1-x^25)).
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MAPLE
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1/((1-x)*(1-x^5)*(1-x^10)*(1-x^25));
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MATHEMATICA
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CoefficientList[ Series[ 1 / ((1 - x)(1 - x^5)(1 - x^10)(1 - x^25)), {x, 0, 65} ], x ]
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CROSSREFS
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Sequence in context: A064133 A105674 A130496 this_sequence A001300 A001306 A108105
Adjacent sequences: A001296 A001297 A001298 this_sequence A001300 A001301 A001302
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KEYWORD
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nonn
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AUTHOR
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njas
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