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Schröder number : ウィキペディア英語版
Schröder number
In mathematics, a Schröder number describes the number of paths from the southwest corner (0, 0) of an ''n'' × ''n'' grid to the northeast corner (''n'', ''n''), using only single steps north, northeast, or east, that do not rise above the SW–NE diagonal.
The first few Schröder numbers are
:1, 2, 6, 22, 90, 394, 1806, 8558, .... .
They were named after the German mathematician Ernst Schröder.
==Examples==
The following figure shows the 6 Schröder paths through a 2 × 2 grid:

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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