|
Search: id:A100615
|
|
|
| A100615 |
|
Let B(n)(x) be the Bernoulli polynomials as defined in A001898, with B(n)(1) equal to the usual Bernoulli numbers A027641/A027642. Sequence gives numerators of B(n)(2). |
|
+0
5
|
|
| 1, -1, 5, -1, 1, 1, -5, -1, 7, 3, -15, -5, 7601, 691, -91, -35, 3617, 3617, -745739, -43867, 3317609, 1222277, -5981591, -854513, 5436374093, 1181820455, -213827575, -76977927, 213745149261, 23749461029, -249859397004145, -8615841276005, 238988952277727, 84802531453387
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
F. N. David, Probability Theory for Statistical Methods, Cambridge, 1949; see pp. 103-104. [There is an error in the recurrence for B_s^{(r)}.]
|
|
FORMULA
|
E.g.f.: (x/(exp(x)-1))^2. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 27 2006
|
|
EXAMPLE
|
1, -1, 5/6, -1/2, 1/10, 1/6, -5/42, -1/6, 7/30, 3/10, -15/22, -5/6, 7601/2730, 691/210, -91/6, -35/2, 3617/34, 3617/30, -745739/798, -43867/42, ... = A100615/A100616.
|
|
CROSSREFS
|
Cf. A001898, A027641, A027642, A100616.
Sequence in context: A069293 A066803 A089608 this_sequence A102280 A035316 A068316
Adjacent sequences: A100612 A100613 A100614 this_sequence A100616 A100617 A100618
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
njas, Dec 03 2004
|
|
|
Search completed in 0.002 seconds
|
