-4725

Appears in sequences

• Expansion of e.g.f. cos(x)/cos(log(1+x)).at n=7A009103
• Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).at n=10A013270
• In general, let A(n,k,m) denote the (n,k)-th entry of the inverse of the matrix consisting of the (n,k)-th m-restrained Stirling numbers of the second kind (-1)^(n-k) times the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, as the (n+1,k+1)-th entry. The sequence shows A(n,k,3), which is a lower triangular matrix, read by rows.at n=22A171998
• Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x.at n=49A174893
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=48A176602
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=51A176602
• Numerator of 1/det(M) where M is the n X n matrix with M[i,j] = 1/gcd(i,j).at n=9A260908
• a(n) = A000730(7*n).at n=37A282941
• Triangle, read by rows, of Lambert's denominator polynomials related to convergents of tan(x).at n=23A334823