Runs and sequences
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The transcription patterns of 64 linear double stranded DNA templates obtained with T7 RNA polymerase were investigated. These templates consisted of 17 nucleotide-long sequences under the control of the minimal bac-teriophage T7 promoter and represented all possible combinations of nucleotides at positions +8, +10 and +11.
8p tumor12 20-04-2013 33 5 Download
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ON THE APPEARANCE OF PRIMES IN LINEAR RECURSIVE SEQUENCES JOHN H. JAROMA Received 16 August 2004 and
ON THE APPEARANCE OF PRIMES IN LINEAR RECURSIVE SEQUENCES JOHN H. JAROMA Received 16 August 2004 and in revised form 5 December 2004 We present an application of difference equations to number theory by considering the set √ √ of linear second-order recursive relations, Un+2 ( √ R,Q) = RUn+1 − QUn , U0 = 0, U1 = 1, √ √ and Vn+2 ( R,Q) = RVn+1 − QVn , V0 = 2,V1 = R, where R and Q are relatively prime integers and n ∈ {0,1,...}. These equations describe the set of extended Lucas sequences, or rather, the Lehmer sequences. We...
7p sting12 10-03-2012 38 5 Download