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A001310
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Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.
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0
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1, 1, 2, 2, 4, 4, 6, 6, 9, 9, 13, 13, 18, 18, 24, 24, 31, 31, 39, 39, 50, 50, 62, 62, 77, 77, 93, 93, 112, 112, 134, 134, 159, 159, 187, 187, 218, 218, 252, 252, 293, 293, 337, 337, 388, 388, 442, 442, 503, 503, 571
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| 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
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 180
Index entries for sequences related to making change.
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MAPLE
| 1/(1-x)/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20)/(1-x^40)/(1-x^100)
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MATHEMATICA
| a[n_] := SeriesTerm[1/((1 - x)(1 - x^2)(1 - x^4)(1 - x^10)(1 - x^40)(1 - x^100)), {x, 0, n}]
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CROSSREFS
| Sequence in context: A029010 A060027 A001362 * A029009 A023023 A184157
Adjacent sequences: A001307 A001308 A001309 * A001311 A001312 A001313
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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