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Fungrim entry: a93679

Table of s ⁣(n,k)s\!\left(n, k\right) for 0n100 \le n \le 10 and 0k100 \le k \le 10
nn \ kk 012345678910
010000000000
101000000000
20-1100000000
302-310000000
40-611-61000000
5024-5035-10100000
60-120274-22585-1510000
70720-17641624-735175-211000
80-504013068-131326769-1960322-28100
9040320-109584118124-6728422449-4536546-3610
100-3628801026576-1172700723680-26932563273-9450870-451
Table data: (n,k,y)\left(n, k, y\right) such that s ⁣(n,k)=ys\!\left(n, k\right) = y
Definitions:
Fungrim symbol Notation Short description
StirlingS1s ⁣(n,k)s\!\left(n, k\right) Signed Stirling number of the first kind
Source code for this entry:
Entry(ID("a93679"),
    Description("Table of", StirlingS1(n, k), "for", LessEqual(0, n, 10), "and", LessEqual(0, k, 10)),
    Table(TableRelation(Tuple(n, k, y), Equal(StirlingS1(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, 2, -3, 1, 0, 0, 0, 0, 0, 0, 0), Tuple(0, -6, 11, -6, 1, 0, 0, 0, 0, 0, 0), Tuple(0, 24, -50, 35, -10, 1, 0, 0, 0, 0, 0), Tuple(0, -120, 274, -225, 85, -15, 1, 0, 0, 0, 0), Tuple(0, 720, -1764, 1624, -735, 175, -21, 1, 0, 0, 0), Tuple(0, -5040, 13068, -13132, 6769, -1960, 322, -28, 1, 0, 0), Tuple(0, 40320, -109584, 118124, -67284, 22449, -4536, 546, -36, 1, 0), Tuple(0, -362880, 1026576, -1172700, 723680, -269325, 63273, -9450, 870, -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