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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. 2
 0, 0, 3, 4, 10, 24, 32, 56 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS 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. P. D'Angelo and J. Lebl, Complexity results for CR mappings between spheres, arXiv:0708.3232 [math.CV], 2008. J. P. D'Angelo and J. Lebl, Complexity results for CR mappings between spheres, Internat. J. Math. 20 (2009), no. 2, 149-166. J. Lebl and D. Lichtblau, Uniqueness of certain polynomials constant on a hyperplane, arXiv:0808.0284 [math.CV], 2008-2010. J. Lebl and D. Lichtblau, Uniqueness of certain polynomials constant on a hyperplane, Linear Algebra Appl., 433 (2010), no. 4, 824-837 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: A200981 A266729 A103038 * A169790 A014009 A274220 Adjacent sequences:  A143105 A143106 A143107 * A143109 A143110 A143111 KEYWORD hard,nonn,more AUTHOR Jiri Lebl (jlebl(AT)math.uiuc.edu), Jul 25 2008 STATUS approved

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Last modified October 18 14:11 EDT 2019. Contains 328161 sequences. (Running on oeis4.)