

A213929


Number of ways of obtaining a weight of n grams with a twopan balance using eight weights of denominations 1, 1, 2, 5, 10, 10, 20 and 50 grams.


1



25, 30, 40, 50, 45, 50, 45, 50, 40, 30, 25, 31, 42, 54, 49, 55, 50, 56, 46, 35, 30, 36, 48, 60, 54, 60, 54, 60, 48, 36, 30, 35, 46, 56, 50, 55, 49, 54, 42, 31, 25, 30, 40, 50, 45, 50, 45, 50, 40, 30, 25, 29, 38, 46, 41, 45, 40, 44, 34, 25, 20, 24, 32, 40, 36, 40, 36, 40, 32, 24, 20, 22, 28, 32, 28, 30, 26, 28, 20, 14, 10, 11, 14, 16, 14, 15, 13, 14, 10, 7, 5, 5, 6, 6, 5, 5, 4, 4, 2, 1
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OFFSET

0,1


REFERENCES

G. Pólya and G. Szegő, Problems and Theorems in Analysis, SpringerVerlag, NY, 2 vols., 1972, Vol. 1, p. 2, Problems 6 and 8.


LINKS

Table of n, a(n) for n=0..99.
Index entries for sequences related to making change.


FORMULA

G.f.: (1/x+1+x)^2*(1/x^2+1+x^2)*(1/x^5+1+x^5)*(1/x^10+1+x^10)^2*(1/x^20+1+x^20)*(1/x^50+1+x^50) (then discard terms involving negative exponents).
a(n) = 0 for n > 99.


CROSSREFS

Cf. A214774.
Sequence in context: A044861 A161835 A284045 * A167324 A184042 A157646
Adjacent sequences: A213926 A213927 A213928 * A213930 A213931 A213932


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 28 2012


STATUS

approved



