66240

Appears in sequences

• Commuting permutations: number of ordered triples of permutations f, g, h in Symm(n) which all commute.at n=6A072169
• Consider the family of directed multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n labeled loops and arcs.at n=4A098630
• Triangle read by rows: T(n,k) = count of increasing runs in two concatenated k-permutations of [n].at n=13A122823
• Numbers with prime factorization pqr^2s^6.at n=11A190474
• Sequence A190914 evaluated at the negative index -n.at n=23A190913
• Number of nX3 1..(max n,3) arrays with each row and column having unrepeated values.at n=4A221433
• Number of nX5 1..(max n,5) arrays with each row and column having unrepeated values.at n=2A221435
• T(n,k) is the number of n X k 1..(max n,k) arrays with each row and column having unrepeated values.at n=23A221438
• T(n,k) is the number of n X k 1..(max n,k) arrays with each row and column having unrepeated values.at n=25A221438
• a(n) is the number of permutations {c_1..c_n} of {1..n} for which c_1 - c_2 + ... + (-1)^(n-1)*c_n are squares.at n=9A293857
• Expansion of e.g.f. (1 - log(1 + x))/(1 - 2*log(1 + x)).at n=7A308878
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. (1 - (k-1)*log(1 + x))/(1 - k*log(1 + x)).at n=52A334369
• Array read by antidiagonals: T(n,k) is the number of k-tuples of permutations of [n] that pairwise commute.at n=51A362827
• Numbers k such that k is a multiple of A005940(k).at n=52A364546
• Number T(n,k) of permutations of [n] for which the difference between the longest and the shortest cycle length is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.at n=35A364967
• Number of ways that people can sit in n linearly arranged seats such that there are one or two empty seats between any two persons, zero or one empty seats at the start and end, and at least one person gets seated.at n=13A373182