Last Updated
：2025/12/04
Delannoy number
Noun
Japanese Meaning
デラノイ数：長方形の格子において、左下隅（0,0）から右上隅（m, n）まで、北、東、または北東のいずれかの単一ステップのみを使用して到達可能な経路の総数（数学的概念）
（ plural ）
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(mathematics) The number of possible paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (m, n), using only single steps north, northeast, or east.
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Delannoy number
To count the number of distinct lattice paths from (0,0) to (m,n) that use only single steps north, northeast, or east, you compute the Delannoy number.
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To count the number of distinct lattice paths from (0,0) to (m,n) that use only single steps north, northeast, or east, you compute the Delannoy number.
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