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Fungrim entry: cecede

Table of {nk}\left\{{n \atop k}\right\} for 0n100 \le n \le 10 and 0k100 \le k \le 10
nn \ kk 012345678910
010000000000
101000000000
201100000000
301310000000
401761000000
501152510100000
6013190651510000
70163301350140211000
8011279661701105026628100
90125530257770695126464623610
100151193303410542525228275880750451
Table data: (n,k,y)\left(n, k, y\right) such that {nk}=y\left\{{n \atop k}\right\} = y
Definitions:
Fungrim symbol Notation Short description
StirlingS2{nk}\left\{{n \atop k}\right\} Stirling number of the second kind
Source code for this entry:
Entry(ID("cecede"),
    Description("Table of", StirlingS2(n, k), "for", LessEqual(0, n, 10), "and", LessEqual(0, k, 10)),
    Table(TableRelation(Tuple(n, k, y), Equal(StirlingS2(n, k), y)), TableHeadings(Description(n, "\", k), 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), TableColumnHeadings(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), List(Tuple(1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 7, 6, 1, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 15, 25, 10, 1, 0, 0, 0, 0, 0), Tuple(0, 1, 31, 90, 65, 15, 1, 0, 0, 0, 0), Tuple(0, 1, 63, 301, 350, 140, 21, 1, 0, 0, 0), Tuple(0, 1, 127, 966, 1701, 1050, 266, 28, 1, 0, 0), Tuple(0, 1, 255, 3025, 7770, 6951, 2646, 462, 36, 1, 0), Tuple(0, 1, 511, 9330, 34105, 42525, 22827, 5880, 750, 45, 1))))

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

2019-10-05 13:11:19.856591 UTC