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Fungrim entry: 92cc17

B3=#{{{1},{2},{3}},{{1},{2,3}},{{2},{1,3}},{{3},{1,2}},{{1,2,3}}}=5B_{3} = \# \left\{\left\{\left\{1\right\}, \left\{2\right\}, \left\{3\right\}\right\}, \left\{\left\{1\right\}, \left\{2, 3\right\}\right\}, \left\{\left\{2\right\}, \left\{1, 3\right\}\right\}, \left\{\left\{3\right\}, \left\{1, 2\right\}\right\}, \left\{\left\{1, 2, 3\right\}\right\}\right\} = 5
Definitions:
Fungrim symbol Notation Short description
BellNumberBnB_{n} Bell number
Cardinality#S\# S Set cardinality
Source code for this entry:
Entry(ID("92cc17"),
    Equal(BellNumber(3), Cardinality(Set(Set(Set(1), Set(2), Set(3)), Set(Set(1), Set(2, 3)), Set(Set(2), Set(1, 3)), Set(Set(3), Set(1, 2)), Set(Set(1, 2, 3)))), 5))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC