-1512

Appears in sequences

• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=32A006352
• Expansion of a modular function for gamma_0(6).at n=14A006708
• Expansion of e.g.f. (1 - x)^x.at n=9A007114
• Expansion of e.g.f. ( (1+x)^x )^x.at n=7A007121
• Fourier coefficients of Eisenstein series of degree 2 and weight 6 when evaluated at Gram(A_2)*z.at n=2A037150
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x).at n=33A062139
• Triangle read by rows: T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n matrix with 2's on the diagonal and 1's elsewhere (n >= 1 and 0 <= k <= n). Row 0 consists of the single term 1.at n=60A103283
• Riordan array (1,x(1-3x)).at n=74A110517
• Triangle of polynomials P(n,x) of degree n related to Pi (see comment) and derived from Padé approximation to exp(x).at n=30A113216
• G.f. satisfies: x = A( x + A(x)^2 ).at n=5A139702
• Expansion of K(k) * (6 * E(k) - (1 + 4*k'^2) * K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).at n=32A143337
• Triangle, read by rows, T(n,k) = (-1)^k*binomial(n, k)*3^(n-k).at n=41A164942
• Triangle T(n,m) of the coefficients [x^m] of the polynomial ((x-1)*(x+2)*(x+1))^n, 0<=m<=3n.at n=58A166235
• First differences of A169699.at n=39A169700
• Years in which a transit of Venus (as seen from Earth) took place or is expected to occur, according to the catalog by Fred Espenak.at n=8A171467
• Triangle read by rows: the coefficient [t^n x^k] of n!*(n+2)! *exp(x*t) *(t*(1-2*exp(t))-2*exp(t)) / (2*(1-exp(t))), in row n, k=0..n+1.at n=35A176989
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x) = sum(n>=m, T(n,m) x^n*m!/n!).at n=41A202183
• Triangle read by rows, e.g.f. exp(x*(z-3/2))*(exp(3*x/2)+2*cos(sqrt(3)*x/2))/3.at n=48A215063
• Coefficients of (x^(1/6)*d/dx)^n for positive integer n.at n=33A223536
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood.at n=27A270637