Table of Values For Small n and k
Below is a triangular array of unsigned values for the Stirling numbers of the first kind, similar in form to Pascal's triangle. These values are easy to generate using the recurrence relation in the previous section.
| n \ k | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0 | 1 | |||||||||
| 1 | 0 | 1 | ||||||||
| 2 | 0 | 1 | 1 | |||||||
| 3 | 0 | 2 | 3 | 1 | ||||||
| 4 | 0 | 6 | 11 | 6 | 1 | |||||
| 5 | 0 | 24 | 50 | 35 | 10 | 1 | ||||
| 6 | 0 | 120 | 274 | 225 | 85 | 15 | 1 | |||
| 7 | 0 | 720 | 1764 | 1624 | 735 | 175 | 21 | 1 | ||
| 8 | 0 | 5040 | 13068 | 13132 | 6769 | 1960 | 322 | 28 | 1 | |
| 9 | 0 | 40320 | 109584 | 118124 | 67284 | 22449 | 4536 | 546 | 36 | 1 |
Read more about this topic: Stirling Numbers Of The First Kind
Famous quotes containing the words table of, table, values and/or small:
““A sigh for every so many breath,
And for every so many sigh a death.
That’s what I always tell my wife
Is the multiplication table of life.””
—Robert Frost (1874–1963)
“When the painted birds laugh in the shade,
When our table with cherries and nuts is spread:
Come live, and be merry, and join with me
To sing the sweet chorus of ‘Ha, ha, he!’”
—William Blake (1757–1827)
“What we often take to be family values—the work ethic, honesty, clean living, marital fidelity, and individual responsibility—are in fact social, religious, or cultural values. To be sure, these values are transmitted by parents to their children and are familial in that sense. They do not, however, originate within the family. It is the value of close relationships with other family members, and the importance of these bonds relative to other needs.”
—David Elkind (20th century)
“Your Beauty, ripe, and calm, and fresh,
As Eastern Summers are,
Must now, forsaking Time and Flesh,
Add light to some small Star.”
—Sir William Davenant (1606–1668)