• Physics
  • Published 2001

SUMMA TION OF RECIPROCALS WHICH INVOLVE PRODUCTS OF TERMS FROM GENERALIZED FIBONACCI SEQUENCES-PART II

@inproceedings{Melham2001SUMMATO,
  title={SUMMA TION OF RECIPROCALS WHICH INVOLVE PRODUCTS OF TERMS FROM GENERALIZED FIBONACCI SEQUENCES-PART II},
  author={R. S. Melham},
  year={2001}
}
where a=(p+JX)/2, P=(P-JX)/2, A=b-ap, and B=b-aa. As in [3], we will put ew = AB = b2 pab a2 . We define a companion sequence {~} of {~} by ~ = Aan +Bpn. (1.3) Aspects of this sequence have been treated, for example, in [2] and [4]. For (Wo,Wi)= (0, I), we write {~} = {Un} and, for (Wo,Wi)= (2, p), we write {fv,,} = {v,,}. The sequences {Un} and {v,,} are generalizations of the Fibonacci and Lucas sequences, respectively. From (1.2) and (1.3) we see that Un = v" and ~ = L\Un. Thus, it is clear… CONTINUE READING

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