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In mathematics, the Bell triangle is a triangle of numbers analogous to Pascal's triangle, whose values count partitions of a set in which a given element is the largest singleton. It is named for its close connection to the Bell numbers,〔According to , this name was suggested by Jeffrey Shallit, whose paper about the same triangle was later published as . Shallit in turn credits for the definition of the triangle, but Cohn et al. did not name the triangle.〕 which may be found on both sides of the triangle, and which are in turn named after Eric Temple Bell. The Bell triangle has been discovered independently by multiple authors, beginning with and including also and , and for that reason has also been called Aitken's array or the Peirce triangle. ==Values== Different sources give the same triangle in different orientations, some flipped from each other.〔For instance, shows two orientations, both different from the one here.〕 In a format similar to that of Pascal's triangle, and in the order listed in the Online Encyclopedia of Integer Sequences, its first few rows are:〔 1 1 2 2 3 5 5 7 10 15 15 20 27 37 52 52 67 87 114 151 203 203 255 322 409 523 674 877 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bell triangle」の詳細全文を読む スポンサード リンク
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