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 A001319 Number of (unordered) ways of making change for n cents using coins of 2, 5, 10, 20, 50 cents. 3
 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 13, 7, 13, 7, 13, 13, 13, 13, 13, 13, 22, 13, 22, 13, 22, 22, 22, 22, 22, 22, 35, 22, 35, 22, 35, 35, 35, 35, 35, 35, 53, 35, 53, 35, 53, 53, 53, 53, 53, 53, 77, 53, 77 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 COMMENTS Number of partitions of n into parts 2, 5, 10, 20, and 50. - Joerg Arndt, Sep 05 2014 REFERENCES R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 316. G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1. LINKS T. D. Noe, Table of n, a(n) for n = 0..1000 INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 184 Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1). MAPLE 1/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50) MATHEMATICA CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^10) (1 - x^20) (1 - x^50)), {x, 0, 50}], x] CROSSREFS First differences of A001313. Sequence in context: A087822 A163378 A025810 * A240833 A110919 A281273 Adjacent sequences:  A001316 A001317 A001318 * A001320 A001321 A001322 KEYWORD nonn AUTHOR STATUS approved

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Last modified June 26 18:18 EDT 2022. Contains 354885 sequences. (Running on oeis4.)