login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100616 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 denominators of B(n)(2). 5
1, 1, 6, 2, 10, 6, 42, 6, 30, 10, 22, 6, 2730, 210, 6, 2, 34, 30, 798, 42, 330, 110, 46, 6, 2730, 546, 6, 2, 290, 30, 14322, 462, 510, 170, 2, 6, 54834, 51870, 6, 2, 4510, 330, 1806, 42, 690, 46, 94, 6, 46410, 6630, 66, 22, 530, 30, 798, 798, 174, 290, 118, 6, 56786730 (list; graph; refs; listen; history; text; internal format)
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)}.]

LINKS

Table of n, a(n) for n=0..60.

FORMULA

E.g.f.: (x/(exp(x)-1))^2. - Vladeta Jovovic, 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.

MATHEMATICA

Table[Denominator@NorlundB[n, 2], {n, 0, 59}] (* Arkadiusz Wesolowski, Oct 22 2012 *)

CROSSREFS

Cf. A001898, A027641, A027642, A100615.

Sequence in context: A018801 A055021 A141379 * A097474 A194351 A040035

Adjacent sequences:  A100613 A100614 A100615 * A100617 A100618 A100619

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Dec 03 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 21 15:47 EST 2014. Contains 252324 sequences.