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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083007 a(n)=sum(k=0,n-1,3^k*B(k)*C(n,k)) where B(k) is the k-th Bernoulli number and C(n,k)=binomial(n,k). 0
0, 1, -2, 1, 4, -5, -26, 49, 328, -809, -6710, 20317, 201772, -722813, -8370194, 34607305, 457941136, -2145998417, -31945440878, 167317266613, 2767413231220, -16020403322021, -291473080313162, 1848020950359841, 36679231132772824, -252778977216700025, -5435210060467425446 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

E.g.f.: 3x/(1+e^x+e^(2x)). - Ira M. Gessel, Jan 28 2012

PROG

(PARI) a(n)=sum(k=0, n-1, 3^k*binomial(n, k)*bernfrac(k))

CROSSREFS

Cf. A001469.

Sequence in context: A155944 A091232 A137424 * A002987 A188925 A063872

Adjacent sequences:  A083004 A083005 A083006 * A083008 A083009 A083010

KEYWORD

sign,changed

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2003

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

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

Last modified February 15 20:26 EST 2012. Contains 205852 sequences.