Search: id:A083010
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%I A083010
%S A083010 0,1,5,10,25,170,575,6370,28225,415826,2294975,41649850,275622625,5922729722,
%T A083010 45718037855,1134081384850,10004182986625,281284596509858,2791456543622015,
%U A083010 87722769712529770,967282878165054625,33597252908389628234,407509096583935700255
%V A083010 0,1,-5,10,25,-170,-575,6370,28225,-415826,-2294975,41649850,275622625,
               -5922729722,
%W A083010 -45718037855,1134081384850,10004182986625,-281284596509858,-2791456543622015,
%X A083010 87722769712529770,967282878165054625,-33597252908389628234,-407509096583935700255
%N A083010 6^n(B_n(1/6)-B_n(0)) where B_n(x) is the n-th Bernoulli polynomial.
%F A083010 E.g.f.: 6x(exp(x)-1)/(exp(6x)-1). - Michael Somos Aug 02 2006
%F A083010 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).
%o A083010 (PARI) a(n)=sum(k=0,n-1,6^k*binomial(n,k)*bernfrac(k))
%o A083010 (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 */
%Y A083010 Cf. A001469.
%Y A083010 Sequence in context: A112024 A106729 A038252 this_sequence A166388 A066872 
               A063478
%Y A083010 Adjacent sequences: A083007 A083008 A083009 this_sequence A083011 A083012 
               A083013
%K A083010 sign
%O A083010 0,3
%A A083010 Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2003

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