101606400

Appears in sequences

• a(n) = n! * lcm({1, 2, ..., n+1}).at n=8A002397
• Triangle of numbers n!(n-1)!...(n-k+1)!/(1!2!...k!).at n=38A009963
• Triangle of numbers n!(n-1)!...(n-k+1)!/(1!2!...k!).at n=42A009963
• a(n) = n!*(n+1)!/2.at n=6A010796
• a(n) = n! * (n+1)! * (n+2)! * (n+3)! * (n+4)! * (n+5)! / (2! * 3! * 4! * 5! * 6!).at n=2A010800
• Sets record for f(n) = |{(a,b):a*b=n and a|b}|. Also squares of highly composite numbers A002182.at n=20A046952
• Expansion of e.g.f. 1/(1-x-x^3).at n=10A052556
• Largest square dividing n!.at n=13A055071
• Triangle T(n,k) generalizing the tangent numbers.at n=27A064190
• Duplicate of A090630.at n=13A074191
• Triangle of generalized Stirling numbers S_{3,2}(n,k) read by rows (n>=1, 2<=k<=2n).at n=36A078740
• Product of entries in n-th row of triangle in A081454.at n=10A081456
• Greatest divisor d of n! such that d=m^k with k>1.at n=14A090630
• Triangle built from first column sequences of generalized Stirling2 arrays (m+2,2)-Stirling2, m >= 0.at n=29A091543
• A092186(n)/2.at n=13A092187
• a(n) = determinant of the n X n matrix m(i,j) = (i+j+2)!/i!/j!.at n=5A105187
• LCM of the absolute values of the inverse Hilbert matrix.at n=4A111237
• Triangle of coefficients of (x+1)*(x+3)*(x+6)*...*(x+n(n+1)/2).at n=43A128813
• Number of circular permutations of the multiset {1,1,2,2,...,n,n} (up to rotations) with odd distances between equal elements.at n=7A137730
• A new q-combination type general triangle sequence based on Stirling first polynomials: here q=4: m=3: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)*StirlingS1[k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m)=If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].at n=30A156586