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A094937
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Number of real roots of the n-th Bernoulli polynomial B(n,x).
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0
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0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 7, 8, 9, 10, 11, 12, 9, 10, 11, 12, 13, 10, 11, 12, 13, 14, 11, 12, 13, 14, 15, 12, 13, 14, 15, 16, 17, 14, 15, 16, 17, 18, 15, 16
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| A. P. Veselov and J. P. Ward, On the real zeros of the Hurwitz zeta-function and Bernoulli polynomials. J. Math. Anal. Appl. 305 (2005), no. 2, 712-721.
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FORMULA
| a(n) = 2*n/(pi*e)+o(n)
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PROG
| (PARI) a(n)=polsturm(sum(i=0, n, binomial(n, i)*bernfrac(i)*x^(n-i)))
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CROSSREFS
| Sequence in context: A119281 A173525 A070772 * A161768 A141810 A141809
Adjacent sequences: A094934 A094935 A094936 * A094938 A094939 A094940
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2004
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