115975

Appears in sequences

• Bell or exponential numbers: number of ways to partition a set of n labeled elements.at n=10A000110
• M-sequences m_0,...,m_8 with m_1 < n.at n=3A011824
• Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).at n=54A011971
• Number of oriented multigraphs on n labeled arcs (with loops).at n=5A020557
• Triangle of coefficients arising in calculation of A002872 and A002874 (sorting numbers).at n=45A036073
• Matrix square of Stirling2 triangle A008277: 2-levels set partitions of [n] into k first-level subsets.at n=45A039810
• Triangle read by rows: T(n,c) = number of successive equalities in set partitions of n.at n=55A056857
• Smallest Bell number (A000110) divisible by n, if such a number exists, otherwise 0.at n=24A066562
• Every fifth Bell number A000110.at n=2A070908
• Triangle T(n,k) read by rows; given by [0,1,0,1,0,1,0,1,...] DELTA [1,1,1,2,1,3,1,4,1,5,1,6,...], where DELTA is Deléham's operator defined in A084938.at n=65A085838
• Triangle read by rows, formed from product of Pascal's triangle (A007318) and Aitken's (or Bell's) triangle (A011971).at n=45A095674
• Triangle read by rows, formed from product of Pascal's triangle (A007318) and Aitken's (or Bell's) triangle (A011971).at n=54A095674
• Triangle of partial sums of Stirling numbers of 2nd kind (A008277): T(n,k) = Sum_{i=1..k} Stirling2(n,i), 1<=k<=n.at n=54A102661
• Array, read by antidiagonals, where A(n,k) = exp(-1)*Sum_{i>=0} (i+k)^n/i!.at n=56A108087
• Array, read by antidiagonals, where A(n,k) = exp(-1)*Sum_{i>=0} (i+k)^n/i!.at n=55A108087
• Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the last block is the singleton {k}, 1<=k<=n; the blocks are ordered with increasing least elements.at n=65A108458
• Triangle, generated from A111579.at n=67A111673
• Triangle read by rows: number of labeled partitions of n with maximin m.at n=65A113547
• Triangle read by rows: number of labeled partitions of n with maximin m.at n=64A113547
• Table T(n,k) = sum over all set partitions of n of number at index k.at n=45A120057