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Search: id:A001364
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| A001364 |
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Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939). |
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+0
1
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| 1, 1, 2, 2, 4, 4, 6, 6, 9, 9, 12, 12, 17, 17, 22, 22, 29, 29, 36, 36, 45, 45, 54, 54, 67, 67, 80, 80, 97, 97, 114, 114, 135, 135, 156, 156, 183, 183, 210, 210, 243, 243, 276, 276, 315, 315, 354, 354, 403, 403, 452, 452
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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More precisely number of ways of making change for n farthings. The coins were farthing, halfpenny, penny, threepence, sixpence, shilling, florin, half-crown.
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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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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^4)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^96)/(1-x^120)
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MATHEMATICA
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a[n_] := SeriesTerm[1/((1 - x)(1 - x^2)(1 - x^4)(1 - x^12)(1 - x^24)(1 - x^48)(1 - x^96)(1 - x^120)), {x, 0, n}]
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CROSSREFS
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Sequence in context: A137501 A005186 A008642 this_sequence A029010 A060027 A001362
Adjacent sequences: A001361 A001362 A001363 this_sequence A001365 A001366 A001367
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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