|
Search: id:A069994
|
|
|
| A069994 |
|
a(n)=sum(i=0,2n,B(i)*C(2n+1,i)*6^i) where B(i) are the Bernoulli numbers, C(2n,i) the binomial coefficients. |
|
+0
1
|
|
| -2, 10, -170, 6370, -415826, 41649850, -5922729722, 1134081384850, -281284596509858, 87722769712529770, -33597252908389628234, 15502327024398065811010, -8481855507605264686660850, 5429636257086663655134162970
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Related to those formula derived from Bernoulli polynomials : sum(k>0,sin(kx)/k^(2n+1))=(-1)^(n+1)/2*x^(2n+1)/(2n+1)!*sum(i=0,2n,(2Pi/x)^i*B(i)*C(2n+1,i))
|
|
PROGRAM
|
(PARI) for(n=1, 25, print1(sum(i=0, 2*n, binomial(2*n+1, i)*bernfrac(i)*6^i), ", "))
|
|
CROSSREFS
|
Cf. A002111.
Adjacent sequences: A069991 A069992 A069993 this_sequence A069995 A069996 A069997
Sequence in context: A126449 A126451 A132341 this_sequence A063573 A086675 A057119
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2002
|
|
|
Search completed in 0.002 seconds
|
