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The number on the left hand side of a given row is the Bell number for that row. ( B i ← x i , 1 {\displaystyle B_{i}\leftarrow x_{i,1}} ) Here are the first five rows of the triangle constructed by these rules:
The number of alternative assignments for a given number of workers, taking into account the choices of how many stages to use and how to assign workers to each stage, is an ordered Bell number. [29] As another example, in the computer simulation of origami , the ordered Bell numbers give the number of orderings in which the creases of a crease ...
The Bell numbers are repeated along both sides of this triangle. The numbers within the triangle count partitions in which a given element is the largest singleton. The number of partitions of an n-element set into exactly k (non-empty) parts is the Stirling number of the second kind S(n, k). The number of noncrossing partitions of an n-element ...
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The numbers are based on a $50 a square game, with a $625 payout for the 1st and 3rd quarters, a $1,250 payout for halftime, and a $2,500 payout for the end of the game.
Note: {} goes to the template for the suit of Hearts in a French pack. {{ Bells }} goes to a template about bells in general, not the playing card suit. Examples