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Search: id:A001313
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| A001313 |
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Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents. |
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+0
6
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| 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
(list; graph; listen)
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OFFSET
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0,3
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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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H. Bottomley, Initial terms of A000008, A001301, A001302, A001312, A001313
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 182
Index entries for sequences related to making change.
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MAPLE
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1/(1-x)/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)
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MATHEMATICA
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a[n_] := SeriesTerm[1/((1 - x)(1 - x^2)(1 - x^5)(1 - x^10)(1 - x^20)(1 - x^50)), {x, 0, n}]
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CROSSREFS
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Cf. A001319.
Sequence in context: A001312 A001301 A001302 this_sequence A057537 A065459 A011873
Adjacent sequences: A001310 A001311 A001312 this_sequence A001314 A001315 A001316
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KEYWORD
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nonn
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AUTHOR
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njas
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