Last Updated:2025/12/04

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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格子上で (0,0) から (m,n) まで、北・北東・東の単位ステップのみを使う異なる格子経路の数を数えるには、格子の南西隅 (0,0) から北東隅 (m,n) へ北・北東・東の単位ステップだけで到達する可能な経路の数を計算します。

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