44310

Appears in sequences

• a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=20A001621
• Coordination sequence for A_20 lattice.at n=2A035846
• Product of a prime and the previous number.at n=46A036689
• Squarefree numbers of the form (prime(k)+1)*(prime(k+1)+1)/4.at n=19A079095
• Largest x such that 1/x + 1/y + 1/z = 1/n.at n=13A082986
• Squarefree oblong (pronic) numbers having an odd number of prime factors.at n=30A098827
• Numbers n such that the denominator of the 2n-th Bernoulli number is divisible by n but sum_{d|n} sigma(d)/phi(d) is not an integer.at n=20A099008
• Numbers k having exactly 5 distinct prime factors, the largest of which is greater than or equal to sqrt(k) (i.e., sqrt(k)-rough numbers with exactly 5 distinct prime factors).at n=0A115959
• a(n)=least number having exactly n distinct prime factors, the largest of which is greater than or equal to sqrt(a(n)).at n=4A115961
• floor((log(4)/log(3))^n).at n=46A140881
• Alexandrian integers: numbers of the form n = p*q*r such that 1/n = 1/p - 1/q - 1/r for some integers p,q,r.at n=31A147811
• a(n) = n*(n+1)*(n*(n+1)+1).at n=15A169938
• a(n) = n^4 + 6n^3 + 14n^2 + 15n + 6.at n=13A176780
• Record (maximal) gaps between prime triples (p, p+2, p+6).at n=41A201598
• Sequence of coefficients of x in marked mesh pattern generating function Q_{n,132}^(-,0,2,0)(x).at n=8A212348
• Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=23A254903
• z-value of the lexicographically first solution (x,y,z) of 4/n = 1/x + 1/y + 1/z with 0 < x < y < z all integers, or 0 if there is no such solution. Corresponding x and y values are in A257839 and A257840.at n=55A257841
• Oblong numbers n such that n - 1 and n + 1 are both semiprime.at n=38A276565
• a(n) is the least exponent k such that 3^k-1 is divisible by prime(n)^2, or -1 if no such k exists.at n=46A283620
• Numbers k for which A120077(k) != A007407(k).at n=6A309829