Fungrim entry: a93679

Table of

s\!\left(n, k\right)

for

0 \le n \le 10

and

0 \le k \le 10

$n$ \ $k$	0	1	2	3	4	5	6	7	8	9	10
0	1	0	0	0	0	0	0	0	0	0	0
1	0	1	0	0	0	0	0	0	0	0	0
2	0	-1	1	0	0	0	0	0	0	0	0
3	0	2	-3	1	0	0	0	0	0	0	0
4	0	-6	11	-6	1	0	0	0	0	0	0
5	0	24	-50	35	-10	1	0	0	0	0	0
6	0	-120	274	-225	85	-15	1	0	0	0	0
7	0	720	-1764	1624	-735	175	-21	1	0	0	0
8	0	-5040	13068	-13132	6769	-1960	322	-28	1	0	0
9	0	40320	-109584	118124	-67284	22449	-4536	546	-36	1	0
10	0	-362880	1026576	-1172700	723680	-269325	63273	-9450	870	-45	1

Table data:

\left(n, k, y\right)

such that

s\!\left(n, k\right) = y

Definitions:

Fungrim symbol	Notation	Short description
`StirlingS1`	$s\!\left(n, k\right)$	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))))

Topics using this entry

Stirling numbers