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Search: id:A083010
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| A083010 |
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6^n(B_n(1/6)-B_n(0)) where B_n(x) is the n-th Bernoulli polynomial. |
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+0
1
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| 0, 1, -5, 10, 25, -170, -575, 6370, 28225, -415826, -2294975, 41649850, 275622625, -5922729722, -45718037855, 1134081384850, 10004182986625, -281284596509858, -2791456543622015, 87722769712529770, 967282878165054625, -33597252908389628234, -407509096583935700255
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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E.g.f.: 6x(exp(x)-1)/(exp(6x)-1). - Michael Somos Aug 02 2006
a(n)=sum(k=0,n-1,6^k*B(k)*C(n,k)) where B(k) is the k-th Bernoulli number and C(n,k)=binomial(n,k).
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PROGRAM
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(PARI) a(n)=sum(k=0, n-1, 6^k*binomial(n, k)*bernfrac(k))
(PARI) {a(n)=if(n<1, 0, n!*polcoeff( 6*x*(exp(x+x*O(x^n))-1)/(exp(6*x +x*O(x^n))-1), n))} /* Michael Somos Aug 02 2006 */
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CROSSREFS
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Cf. A001469.
Sequence in context: A112024 A106729 A038252 this_sequence A166388 A066872 A063478
Adjacent sequences: A083007 A083008 A083009 this_sequence A083011 A083012 A083013
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KEYWORD
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sign
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2003
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