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A214774 Number of ways of obtaining a weight of n grams using eight weights of denominations 1, 1, 2, 5, 10, 10, 20 and 50 grams. 1
1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 2, Problems 5 and 7.

LINKS

Table of n, a(n) for n=0..99.

Index entries for sequences related to making change.

FORMULA

G.f.: (1+x)^2*(1+x^2)*(1+x^5)*(1+x^10)^2*(1+x^20)*(1+x^50).

a(n) = 0 for n > 99.

MATHEMATICA

CoefficientList[Series[(1 + x)^2*(1 + x^2)*(1 + x^5)*(1 + x^10)^2*(1 + x^20)*(1 + x^50), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 11 2017 *)

CROSSREFS

Cf. A213929.

Sequence in context: A037811 A091237 A143477 * A320107 A190321 A238890

Adjacent sequences:  A214771 A214772 A214773 * A214775 A214776 A214777

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 28 2012

STATUS

approved

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Last modified January 17 14:12 EST 2019. Contains 319225 sequences. (Running on oeis4.)