"17311"^^ . "Ordered Bell number"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . "1122565116"^^ . . "In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the number of weak orderings on a set of n elements (orderings of the elements into a sequence allowing ties, such as might arise as the outcome of a horse race). Starting from n = 0, these numbers are 1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247563, ... (sequence in the OEIS). The ordered Bell numbers may be computed via a summation formula involving binomial coefficients, or by using a recurrence relation. Along with the weak orderings, they count several other types of combinatorial objects that have a bijective correspondence to the weak orderings, such as the ordered multiplicative partitions of a squarefree number or the faces of all dimensions of a permutohedron (e.g. the sum of faces of all dimensions in the truncated octahedron is 1 + 14 + 36 + 24 = 75)."@en . . "En math\u00E9matiques, et plus particuli\u00E8rement en combinatoire, les nombres de Fubini ou nombres de Bell ordonn\u00E9s d\u00E9nombrent les partitions ordonn\u00E9es d'un ensemble E \u00E0 n \u00E9l\u00E9ments, c'est-\u00E0-dire les familles finies de parties non vides disjointes de E dont la r\u00E9union est \u00E9gale \u00E0 E. Par exemple, pour n = 3, il y a 13 partitions ordonn\u00E9es de : 6 du type , 3 du type , 3 du type , plus ."@fr . "6992164"^^ . . . . . . . . . . . . . . . . "Nombre de Fubini"@fr . . . . . . . . . . . . . . . "In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the number of weak orderings on a set of n elements (orderings of the elements into a sequence allowing ties, such as might arise as the outcome of a horse race). Starting from n = 0, these numbers are 1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247563, ... (sequence in the OEIS)."@en . . . . . . . . . . . . . "En math\u00E9matiques, et plus particuli\u00E8rement en combinatoire, les nombres de Fubini ou nombres de Bell ordonn\u00E9s d\u00E9nombrent les partitions ordonn\u00E9es d'un ensemble E \u00E0 n \u00E9l\u00E9ments, c'est-\u00E0-dire les familles finies de parties non vides disjointes de E dont la r\u00E9union est \u00E9gale \u00E0 E. Par exemple, pour n = 3, il y a 13 partitions ordonn\u00E9es de : 6 du type , 3 du type , 3 du type , plus ."@fr .