Fungrim home page

Fungrim entry: f88455

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
302310000000
4061161000000
5024503510100000
60120274225851510000
7072017641624735175211000
80504013068131326769196032228100
9040320109584118124672842244945365463610
10036288010265761172700723680269325632739450870451
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
StirlingCycle[nk]\left[{n \atop k}\right] Unsigned Stirling number of the first kind
Source code for this entry:
Entry(ID("f88455"),
    Description("Table of", StirlingCycle(n, k), "for", LessEqual(0, n, 10), "and", LessEqual(0, k, 10)),
    Table(TableRelation(Tuple(n, k, y), Equal(StirlingCycle(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))))

Topics using this entry

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