2026-03-10T19:04:02Z https://tokushima-u.repo.nii.ac.jp/oai

oai:tokushima-u.repo.nii.ac.jp:02001128 2025-04-28T08:02:23Z 1713829974766:1713854679917:1716360605636 1713853213384:1713853297799

Some Infinite Series of Fibonacci Numbers 70194777 片山, 真一 カタヤマ, シンイチ Katayama, Shin-ichi 片山 カタヤマ Katayama 真一 シンイチ Shin-ichi open access In his paper [1],J.G.Goggins has shown a simple formula which relates πand Fibonacci numbers. In this note，we shall prove a generalized formula (4) with some integer parameter k. Then Goggins's formula can be regarded as the special case k = 1 of our new formula (4). 2008-12 eng departmental bulletin paper VoR 188993 https://tokushima-u.repo.nii.ac.jp/records/2001128 13467387 AA11595324 Journal of mathematics, the University of Tokushima 42 9 12 https://tokushima-u.repo.nii.ac.jp/record/2001128/files/LID201112212001.pdf application/pdf 208 KB 2011-12-21