37100

Appears in sequences

• a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=34A011940
• Row 3 of table in A067640.at n=2A067638
• Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals.at n=17A067640
• Column 2 of table in A067640.at n=3A067642
• 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, -1, 1), (-1, 1, 0), (1, -1, 0), (1, 1, -1), (1, 1, 0)}.at n=9A149213
• a(n) = n*(16*n^2 + 3*n - 13)/6.at n=24A172078
• Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four, five or six distinct values for every i,j,k<=n.at n=13A211529
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<3z.at n=21A212516
• a(n) = A273059(4n).at n=34A275916
• Sum of the cubes of the parts in the partitions of n into two parts.at n=19A294270
• Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A300684
• Number of nX7 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=2A300688
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=38A300689
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=42A300689
• a(n) = 2*n^3 + 9*n^2 + 9*n.at n=25A303609
• Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = psi(n) - n and psi(n) = A001615(n) is the Dedekind psi function.at n=19A323329