Last Updated :2025/12/08

Singmaster's conjecture

Proper noun
Japanese Meaning
パスカルの三角形において、数字1以外の各項が出現する回数に有限の上限が存在するという、組み合わせ的数論上の予想。
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シングマスターの予想は、1を除いてパスカルの三角形の項の出現回数に有限の上限が存在するとする組合せ数論の予想であり、パスカルの三角形内で数がどのくらい繰り返されるかについての多くの研究を促してきた。

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(mathematics) A conjecture in combinatorial number theory, stating that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).

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Singmaster's conjecture

Singmaster's conjecture has motivated numerous studies into how often numbers repeat in Pascal's triangle.

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Singmaster's conjecture has motivated numerous studies into how often numbers repeat in Pascal's triangle.

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