107520

Appears in sequences

• Denominators of coefficients of log(1+x)/sqrt(1+x).at n=6A002550
• Glaisher's function U(n).at n=23A002612
• Triangle T(n,k) of number of minimal 3-covers of a labeled n-set that cover k points of that set uniquely (k=3,..,n).at n=16A057964
• Least number whose number of divisors is n-th term from A014613 (numbers of form p*q*r*s, products of exactly 4 primes, counted with multiplicity).at n=9A061218
• 13-almost primes (generalization of semiprimes).at n=29A069274
• a(n) = the least positive integer k such that b(k) = n, where b(k) (A076526) is defined by b(k) = r * max{e_1,...,e_r} if k = p_1^e_1 *...* p_r^e_r is the canonical prime factorization of k.at n=39A076745
• Triangle read by rows: T(m,k) = normalized partial derivative of (t,z) -> exp(t*g(z)) at (0,0), where 2*g(z) = 1 + exp(-2*z*g(z)).at n=16A078751
• Triangle of least prime signatures such that T(1,1)= 1; T(r,j) = 2*T(r,j-1) for j>1 and T(r+1,1) is the smallest value in A025487 not appearing on an earlier row.at n=54A085988
• Hook products of all partitions of 12.at n=6A093791
• Hook products of all partitions of 12.at n=5A093791
• a(n) = least multiple of n such that the geometric mean of a(1), ..., a(n) is an integer.at n=7A095210
• Numbers n such that n=phi(phi(n)+sigma(n)) and n is not of the form 2*p where p is a Sophie Germain odd prime.at n=14A097652
• Triangle read by rows: T(n,k) (0 <= k <= n) is the number of three-dimensional lattice walks consisting of n unit steps, each in one of the six coordinate directions, starting at the origin, never going below the horizontal plane and having k vertical steps.at n=40A104855
• Numbers of divisors associated with the entries of A120585.at n=18A120586
• T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j.at n=25A137337
• Triangle read by rows: T(n,k) is the number of unordered pairs of vertices at distance k in the cube Q_n of dimension n (1 <= k <= n).at n=48A143376
• Area A of the triangles such that A, the sides and two medians are integers.at n=7A181928
• Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k returns to the horizontal axis (both from above and below). The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=47A182898
• Triangle read by rows: T(n,k) = (-1)^(n-k) * r16(n-k) * 2^(3*b(k)) * sigma_3(O(k)), for k=1 to n, for n>=1 (see comments for terms used).at n=33A193354
• Denominators in the resistance triangle: T(k,n)=b, where b/c is the resistance distance R(k,n) for k resistors in an n-dimensional cube.at n=34A212046