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A213929
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Number of ways of obtaining a weight of n grams with a two-pan balance using eight weights of denominations 1, 1, 2, 5, 10, 10, 20 and 50 grams.
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1
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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
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0,1
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REFERENCES
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G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 2, Problems 6 and 8.
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LINKS
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FORMULA
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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.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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