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 A001312 Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents. 6
 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 16, 19, 22, 25, 28, 31, 34, 40, 43, 49, 52, 58, 64, 70, 76, 82, 88, 98, 104, 114, 120, 130, 140, 150, 160, 170, 180, 195, 205, 220, 230, 245, 260, 275, 290, 305, 320, 342, 357, 379, 394, 416, 438, 460, 482, 504, 526 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Number of partitions of n into parts 1, 2, 5, 10, 50, and 100. - 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 181 FORMULA G.f.: 1/((1-x)*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^50)*(1-x^100)). EXAMPLE 1 + x + 2*x^2 + 2*x^3 + 3*x^4 + 4*x^5 + 5*x^6 + 6*x^7 + 7*x^8 + 8*x^9 + 11*x^10 + ... MATHEMATICA a[ n_] := SeriesCoefficient[1/((1 - x)(1 - x^2)(1 - x^5)(1 - x^10)(1 - x^50)(1 - x^100)), {x, 0, n}] Table[Length[FrobeniusSolve[{1, 2, 5, 10, 50, 100}, n]], {n, 0, 60}] (* Harvey P. Dale, Dec 29 2017 *) CROSSREFS Sequence in context: A121385 A029015 A000008 * A182086 A001301 A001302 Adjacent sequences:  A001309 A001310 A001311 * A001313 A001314 A001315 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified December 12 12:30 EST 2019. Contains 329958 sequences. (Running on oeis4.)