58941091

Appears in sequences

• Number of "sets of lists": number of partitions of {1,...,n} into any number of lists, where a list means an ordered subset.at n=10A000262
• Denominators of continued fraction for alternating factorial.at n=19A056953
• Numerators of the coefficients in exp(x/(1-x)) power series.at n=10A067764
• Matrix product of unsigned Lah-triangle |A008297(n,k)| and Stirling2-triangle A008277(n,k).at n=45A088814
• Triangle, read by rows, T(n,k) = Sum_{j=1..k} binomial(n-1, j-1)*binomial(k, j - 1)*(j-1)!.at n=54A176122
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>k} exp(x^i).at n=65A293053
• Expansion of e.g.f.: exp(-x/(1+x)).at n=10A293125
• Number of sets of nonempty words with a total of n letters over denary alphabet such that all letters occur at least once in the set.at n=0A320211
• Number of multisets of nonempty words with a total of n letters over denary alphabet such that all letters occur at least once in the multiset.at n=0A320220
• E.g.f. satisfies A(x) = exp(x * (1 + x + x^2 + x^3 + x^4) * A(x^5)).at n=10A367751
• Triangle read by rows: the exponential almost-Riordan array ( exp(x/(1-x)) | 1/(1-x), x ).at n=55A373168
• Triangle of generalized Stirling numbers of the lower level of the hierarchy (section m=1).at n=45A376863