In combinatorics, the nth Bell number, named after Eric Temple Bell, is the number of partitions of a set with n members, or equivalently, the number of equivalence relations on it. Starting with B0 = B1 = 1, the first few Bell numbers are:
- 1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, … (sequence A000110 in OEIS).
(See also breakdown by number of subsets/equivalence classes.)
Read more about Bell Number: Partitions of A Set, Properties of Bell Numbers, Asymptotic Limit and Bounds, Triangle Scheme For Calculating Bell Numbers, Prime Bell Numbers
Famous quotes containing the words bell and/or number:
“I go, and it is done; the bell invites me.
Hear it not, Duncan, for it is a knell
That summons thee to heaven, or to hell.”
—William Shakespeare (1564–1616)
“It is the quality of the moment, not the number of days, or events, or of actors, that imports.”
—Ralph Waldo Emerson (1803–1882)