1,2,5,15,52,203,877,4140,\dots } (sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts the different ways to partition a set...

In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the weak orderings on a set of n {\displaystyle n} elements...

fifth of the form (22.q). the 5th Bell number, the number of ways to partition a set of 5 objects. a decagonal number. with an aliquot sum of 46; within...

therefore a pentagonal pyramidal number, as well as a nonagonal number. It is also the fourth ordered Bell number, and a Keith number, because it recurs in a Fibonacci-like...

= prime factor of F12 115,975 = Bell number 116,281 = 3412, square number, centered decagonal number, 18-gonal number 117,067 = first vampire prime 117...

prime. a deficient number, a lucky number, a bell number (i.e., the number of partitions for a set of size 4), a pentatope number, and a repdigit in binary...

generalized pentagonal number 877 = prime number, Bell number, Chen prime, the Mertens function of 877 returns 0, strictly non-palindromic number, prime index prime...

mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are used in the study of set partitions. They are related to Stirling and Bell numbers....

1974 – Number 97 US Atlantic Records "Hazell" – 1978 – Number 37 UK – Swan Song Records "Hold Me" – 1981 – B. A. Robertson and Maggie Bell – Number 11 UK...

k is the total number of partitions of a set with n members. This number is known as the nth Bell number. Analogously, the ordered Bell numbers can be...