|
Search: id:A094937
|
|
|
| A094937 |
|
Number of real roots of the n-th Bernoulli polynomial B(n,x). |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
0,3
|
|
|
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.
|
|
FORMULA
|
a(n) = 2*n/(pi*e)+o(n)
|
|
PROGRAM
|
(PARI) a(n)=polsturm(sum(i=0, n, binomial(n, i)*bernfrac(i)*x^(n-i)))
|
|
CROSSREFS
|
Sequence in context: A070671 A119281 A070772 this_sequence A161768 A141810 A141809
Adjacent sequences: A094934 A094935 A094936 this_sequence A094938 A094939 A094940
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2004
|
|
|
Search completed in 0.002 seconds
|
