login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001306 Number of ways of making change for n cents using coins of 1, 5, 10, 20, 50, 100 cents. 2
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14, 20, 20, 20, 20, 20, 26, 26, 26, 26, 26, 35, 35, 35, 35, 35, 44, 44, 44, 44, 44, 57, 57, 57, 57, 57, 70, 70, 70, 70, 70, 88, 88, 88, 88, 88, 106, 106, 106, 106 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Number of partitions of n into parts 1, 5, 10, 20, 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 179

Index entries for linear recurrences with constant coefficients, order 186.

Index entries for sequences related to making change.

FORMULA

G.f.: 1/((1-x)*(1-x^5)*(1-x^10)*(1-x^20)*(1-x^50)*(1-x^100)).

MATHEMATICA

CoefficientList[ Series[ 1 / ((1 - x)(1 - x^5)(1 - x^10)(1 - x^20)(1 - x^50)(1 - x^100)), {x, 0, 60} ], x ]

CROSSREFS

Sequence in context: A001299 A001300 A169718 * A260984 A108105 A321213

Adjacent sequences:  A001303 A001304 A001305 * A001307 A001308 A001309

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 13 19:25 EST 2018. Contains 317149 sequences. (Running on oeis4.)