53466

Appears in sequences

• q-factorial numbers 3!_q.at n=37A069778
• G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 8.at n=31A091779
• Number of different groupings among the hierarchical orderings of n unlabeled elements.at n=10A104500
• Number of permutations of floor(i*3/2), i=0..n-1, with all sums of 2 through 4 adjacent terms respectively unique.at n=8A147900
• Number of permutations of floor(i*3/2), i=0..n-1, with all sums of 2 through 5 adjacent terms respectively unique.at n=8A147908
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=8A150797
• Antidiagonal sums of the convolution array A213833.at n=17A213834
• Number of 0..n arrays of length 5 with each element differing from at least one neighbor by something other than 1, starting with 0.at n=14A221543
• The number of permutations of length n sortable by 3 prefix reversals (in the pancake sorting sense).at n=38A228398
• a(n) = n*(n + 1)*(11*n^2 + 11*n - 10)/24.at n=18A264854
• a(n) = m is the least m = b*c > a(n-1) such that (b+c)*n = m-1 where 1 < b <= c < m.at n=36A364171