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a(n) is the number of collections of subsets of [n] that are pairwise disjoint and cover [n], with [0] = {}. - Manfred Boergens, May 02 2024
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(MAGMAMagma) [Bell(n)*(2-0^n): n in [0..50]]; // Vincenzo Librandi, Apr 06 2011
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A186021List := proc(m) local A, P, n; A := [1, 2]; P := [2];
for n from 1 to m - 2 do P := ListTools:-PartialSums([P[-1], op(P)]);
A := [op(A), P[-1]] od; A end: A186021List(26); # Peter Luschny, Mar 24 2022
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G.f. A(x) satisfies: A(x) = 1 + (x/(1 - x)) * (1 + A(x/(1 - x))). - Ilya Gutkovskiy, Jun 30 2020
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