-1890

Appears in sequences

• Expansion of e.g.f.: sech(cosh(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5...at n=7A012763
• Triangle of Lehmer-Comtet numbers of 2nd kind.at n=24A039621
• Matrix inverse of triangle A055134.at n=32A055135
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,3,x) (rising powers of x).at n=33A062137
• Bessel polynomial {y_n}'''(-1).at n=4A065951
• Triangular table of coefficients of the Hermite polynomials, divided by 2^floor(n/2).at n=46A067613
• Signed array used for numerators of generating functions of the column sequences of array A090452.at n=56A091029
• Row sums of number triangle related to the Jacobsthal numbers.at n=31A110325
• Triangle T, read by rows, such that the matrix square, T^2, forms a simple 2-diagonal triangle where [T^2](n,n) = 1 and [T^2](n+1,n) = 2*(n+1) for n>=0.at n=50A113278
• Triangle T(n,k) read by rows: inverse of the matrix PE = exp(P)/exp(1) given in A011971.at n=59A129334
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=50A132382
• Eigentriangle of (A007318)^(-1); row sums = A014182, exp(1-x-exp(-x)).at n=61A143987
• Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 0 <= k <= n), read by rows.at n=41A144633
• Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 1 <= k <= n), read by rows.at n=32A144634
• Coefficient array of orthogonal polynomials P(n,x)=x*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.at n=38A178103
• Matrix inverse of triangle A088956.at n=40A215534
• Numerator of 1/det(M) where M is the n X n matrix with M[i,j] = 1/gcd(i,j).at n=8A260908
• G.f.: Im((2*i; x)_oo), where (a; q)_oo is the q-Pochhammer symbol, i = sqrt(-1).at n=26A292140
• Triangle read by rows, expansion of exp(x*z)*z*((exp(z) + 1)/((exp(z) + 2*exp(-z/2)*cos(z*sqrt(3)/2))/3) -1), for n >= 1 and 0 <= k <= n-1.at n=40A294034
• G.f. A(x,y) satisfies: A(x,y) = x * (1 + y*A(x,y)*A'(x,y)) / (1 + A(x,y)*A'(x,y)), where A'(x,y) = d/dx A(x,y).at n=15A301930