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A143108 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 1, i.e. of degree 2n-4. +0
3
0, 0, 3, 4, 10, 24, 32, 56 (list; graph; listen)
OFFSET

1,3

REFERENCES

J. P. D'Angelo and J. Lebl. Complexity results for CR mappings between spheres. to appear in Internat. J. Math., preprint arXiv:0708.3232.

J. P. D'Angelo, Simon Kos and Emily Riehl. A sharp bound for the degree of proper monomial mappings between balls. J. Geom. Anal., 13(4):581-593, 2003.

J. Lebl and D. Lichtblau. Uniqueness of certain polynomials constant on a hyperplane. preprint

LINKS

J. P. D'Angelo and J. Lebl. Complexity results for CR mappings between spheres, to appear in Internat. J. Math.

FORMULA

Possibly can be computed from A143107 except for the third term, but this is not proved. Let b_n be elements of A143107, then a_n = 2 ( b_2 b_{n-1} + b_3 b_{n-2} + ... + b_{n-1} b_2 )

MATHEMATICA

See the paper by Lebl-Lichtblau

CROSSREFS

Cf. A143107, A143109.

Sequence in context: A036649 A109887 A103038 this_sequence A014009 A085386 A133760

Adjacent sequences: A143105 A143106 A143107 this_sequence A143109 A143110 A143111

KEYWORD

hard,nonn,unkn

AUTHOR

Jiri Lebl (jlebl(AT)math.uiuc.edu), Jul 25 2008

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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