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%I #23 Feb 02 2020 08:02:53
%S 1,25,206,1269,6917,35627
%N Conjectured value of N(2^n), defined by property that the Jensen polynomial J^{2^n,m}_p(X) is hyperbolic for m >= N(2^n).
%C Normally the OEIS does not list conjectured values in the Data section, but an exception has been made here in view of the importance of these numbers.
%C The conjectured values of N(d) for d = 1,...,9 are 1, 25, 94, 206, 381, 610, 908, 1269, 1701.
%C See Larson-Wagner (2019) for the proof that certain of these numbers are correct.
%D Ken Ono, Jensen-Polya Program for the Riemann Hypothesis and Related Problems, Colloquium Lecture, Mathematics Department, Rutgers University, Piscataway, NJ, Sep 06 2019.
%H M. Griffin, K. Ono, L. Rolen, and D. Zagier, <a href="https://arxiv.org/abs/1902.07321">Jensen polynomials for the Riemann zeta function and other sequences</a>, arXiv:1902.07321 [math.NT], 2019.
%H M. Griffin, K. Ono, L. Rolen, and D. Zagier, <a href="https://doi.org/10.1073/pnas.1902572116">Jensen polynomials for the Riemann zeta function and other sequences</a>, Proceedings of the National Academy of Sciences, 116(23) (2019), 11103-11110.
%H H. Larson and I. Wagner, <a href="https://arxiv.org/abs/1904.12727">Hyperbolicity of the partition Jensen polynomials</a>, arXiv:1904.12727 [math.NT], 2019.
%H H. Larson and I. Wagner, <a href="https://doi.org/10.1007/s40993-019-0157-y">Hyperbolicity of the partition Jensen polynomials</a>, Res. Numb. Th. 5(2) (2019), Art. 19, 12 pp. (<a href="https://doi.org/10.1007/s40993-019-0159-9">Correction</a>, Res. Numb. Th. 5(3) (2019), Art. 21, 1 p.)
%H Ken Ono, <a href="http://people.oregonstate.edu/~petschec/ONTD/Talk1.pdf">Jensen-Polya Program for the Riemann Hypothesis and Related Problems</a>, Oregon Number Theory Days (Colloquium Lecture), Oregon State University, Winter 2018.
%K nonn,hard,more
%O 0,2
%A _N. J. A. Sloane_, Sep 07 2019
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