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PDF-2THEBERNOULLINUMBERSANDPOWERSUMSwhichagaincanbecomputedonceandforall,t PDF document

k1Bk1nBk1Fromthehomeworkthe rstfewBernoullinumbersareB01B112B216andB30andsothe rstfewBernoullipolynomialsareB0X1B1XX1 2B2XX2X1 6B3XX33 2X21 2XForexample1222

k+1(Bk+1(n)Bk+1):Fromthehomework the rstfewBernoullinumbersareB0=1 B1=1=2 B2=1=6 andB3=0 andsothe rstfewBernoullipolynomialsareB0(X)=1;B1(X)=X1 2;B2(X)=X2X+1 6;B3(X)=X33 2X2+1 2X:Forexample 12+22

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