183600

Appears in sequences

• Triangle T(n,k), 1 <= k <= n, read by rows: T(n,k) is the number of permutations in the symmetric group S_n having k multiplicative 3-excedances. Equivalently, the number of permutations of the set {3,6,9,...,3n} with k excedances.at n=43A136717
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k entries divisible by 3 that are followed by a smaller entry (n>=1, k>=0).at n=19A136718
• Triangle T(n, k) = (2*n+1)!! * 2^(floor((n-1)/2) + floor(k/2) + 1) * Beta(floor(n/2) + floor((k-1)/2) + 2, floor((n-1)/2) + floor(k/2) + 2), read by rows.at n=31A158868
• Triangle T(n, k) = (2*n+1)!! * 2^(floor((n-1)/2) + floor(k/2) + 1) * Beta(floor(n/2) + floor((k-1)/2) + 2, floor((n-1)/2) + floor(k/2) + 2), read by rows.at n=32A158868
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<=3z.at n=31A212517
• Degrees of irreducible representations of simple Chevalley group F4(2).at n=19A214481
• Degrees of irreducible representations of simple Chevalley group F4(2).at n=20A214481
• Integer areas of the first Neuberg triangles of integer-sided triangles.at n=25A230758
• sigma(n) is an additive inverse of n modulo phi(n).at n=22A235989
• Numbers with exactly four distinct exponents in their prime factorization, or four distinct parts in their prime signature.at n=9A323025
• Positions of records in A116488.at n=29A342869
• Obverse convolution (2^n)**(n!); see Comments.at n=4A374874
• a(n) = 7*n^3 - 6*n^2.at n=29A382251
• Positive integers k such that the set {d+k/d : d|k} contains three consecutive integers.at n=27A386302