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ナルシシスト数について
https://keiai.repo.nii.ac.jp/records/1267
https://keiai.repo.nii.ac.jp/records/12673e4e3cc3-b87e-426c-a9ad-52ebf0d494d8
名前 / ファイル | ライセンス | アクション |
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KJ00004307591.pdf (258.6 kB)
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Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2016-08-18 | |||||
タイトル | ||||||
タイトル | ナルシシスト数について | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On the Narcissistic Number | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00364106 | |||||
著者 |
岡本, 茂
× 岡本, 茂× OKAMOTO, Shigeru |
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抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | This paper is devoted to generalization of narcissistic number. Let n be a natural number and n = ΣlO^iq_i be the decimal representation, and p>1 be a natural number. Then, n is called a generalized narcissistic number for p if Σq^p_i = n, and p is called as index of narcissistic number. We prove the following theorems : Theorem 1. Narcissistic numbers with index 3 are 1,153,370,371 and 407. Theorem 2. Number of generalized narcissistic numbers with index p are finite. In the proof of Theorem 2,we have the following inequality : (n-log (n+1))/log 9 <n , which concerns an upper bound of index p. | |||||
書誌情報 |
千葉敬愛短期大学紀要 en : BULLETIN OF CHIBA KEIAI JUNIOR COLLEGE 号 21, p. 53-58, 発行日 1999-02-26 |