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A143109
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Let H(2,d) be the space of polynomials p(x,y) of two variables with nonnegative coefficients such that p(x,y)=1 whenever x + y = 1. a(n) is the number of different polynomials in H(2,d) with exactly n distinct monomials and of maximum degree minus two, i.e., of degree 2n-5.
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2
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OFFSET
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1,4
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COMMENTS
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It is unknown but conjectured that this is a sequence of finite numbers. Note that if we went one degree lower and look at polynomials of degree 2n-6, then there are infinitely many if any exist in H(2,d).
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LINKS
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MATHEMATICA
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See the paper by Lebl-Lichtblau.
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CROSSREFS
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KEYWORD
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hard,nonn
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AUTHOR
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Jiri Lebl (jlebl(AT)math.uiuc.edu), Jul 25 2008
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STATUS
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approved
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