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A069994
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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.
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0
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-2, 10, -170, 6370, -415826, 41649850, -5922729722, 1134081384850, -281284596509858, 87722769712529770, -33597252908389628234, 15502327024398065811010, -8481855507605264686660850, 5429636257086663655134162970
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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))
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PROG
| (PARI) for(n=1, 25, print1(sum(i=0, 2*n, binomial(2*n+1, i)*bernfrac(i)*6^i), ", "))
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CROSSREFS
| Cf. A002111.
Sequence in context: A126449 A126451 A132341 * A063573 A086675 A057119
Adjacent sequences: A069991 A069992 A069993 * A069995 A069996 A069997
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KEYWORD
| easy,sign
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2002
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