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oai:tokushima-u.repo.nii.ac.jp:02001624 2025-04-28T08:02:24Z 1713829974766:1713854679917:1716360603772 1713853213384:1713853297799

Generalized Goggins’s Formula for Lucas and Companion Lucas Sequences 片山, 真一 1028 カタヤマ, シンイチ 60466/profile-ja.html Katayama, Shin-ichi 70194777 In our previous papers, we have generalized Goggins’s formula given in [1] into two different directions [2] and [3]. In this paper, we shall give a more generalized formula which combine the results in [2] and those in [3]. Our formula (6) involves our previous results (4), (5) and also Goggins’s formula (1) as its special cases. Furthermore we shall give another formula (8) which is a generalization of a formula obtained in [2] too. departmental bulletin paper 2011 VoR application/pdf Journal of mathematics, the University of Tokushima 45 13467387 AA11595324 https://tokushima-u.repo.nii.ac.jp/record/2001624/files/LID201112191006.pdf https://tokushima-u.repo.nii.ac.jp/records/2001624 eng