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In this paper, we attempt to generalize Lucas sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. Lucas sequence is obtained as a particular case of generating only one sequence. Moreover we prove some of the results which can be seen as generalized form of the results which hold for Lucas sequence. We obtain Cassini-like identity for these generalized Lucas sequences.

Abstract Introduction We aimed to evaluate the safety, efficacy and surgical outcomes of combined laparoscopic/vaginal prolapse repair by two surgeons. Material and Methods A retrospective chart review of all patients (n =135) who underwent apical prolapse repair from February 2009 to December 2012 performed in a collaborative manner by a Minimally Invasive Gynecologic Surgeon and a Urogynecologist. Demographic data (age, body mass index [BMI], race, gravidity, parity) and surgical information (estimated blood loss, operative time, intraoperative complications, readmission and reoperation rates, presence of postoperative infection) were collected. Results The majority of patients were postmenopausal (58.91%), multiparous (mean parity =2.49) and overweight (mean BMI =27.71). Nearly 20% had previous prolapse surgery. The most common surgical procedure was laparoscopic supracervical hysterectomy (LSH) with sacrocervicopexy (59.26%), and the most common vaginal repair was of the posterior compartment (78.68%). The median operative time was 149 minutes (82-302), and the estimated blood loss was 100 mL (10-530). Five intraoperative complications, five readmissions and four reoperations were noted. Performance of a concomitant hysterectomy did not affect surgical or anatomical outcomes. Conclusion Combination laparoscopic/vaginal prolapse repair by two separate surgeons seems to be an efficient option for operative management.