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A057537 Number of ways of making change for n Euro-cents using the Euro currency (coins and bills of size 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000, 5000, 10000, 20000, 50000 cents). +0
1
1, 2, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 16, 19, 22, 25, 28, 31, 34, 41, 44, 51, 54, 61, 68, 75, 82, 89, 96, 109, 116, 129, 136, 149, 162, 175, 188, 201, 214, 236, 249, 271, 284, 306, 328, 350, 372, 394, 416, 451, 473, 508, 530, 565, 600, 635, 670, 705, 740, 793, 828 (list; graph; listen)
OFFSET

0,2

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.

LINKS

Index entries for sequences related to making change.

MAPLE

1/(1-x)/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)/(1-x^100)/(1-x^200)/(1-x^ 500)/(1-x^1000)/(1-x^2000)/(1-x^5000)/(1-x^10000)/(1-x^20000)/(1-x^50000)

CROSSREFS

Sequence in context: A001301 A001302 A001313 this_sequence A065459 A011873 A008673

Adjacent sequences: A057534 A057535 A057536 this_sequence A057538 A057539 A057540

KEYWORD

nonn

AUTHOR

Thomas Brendan Murphy (murphybt(AT)tcd.ie), Sep 06 2000

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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