-2100

Appears in sequences

• Expansion of e.g.f. cosh(x*log(1+x)).at n=7A009136
• Expansion of tan(tan(log(1+x))).at n=6A009689
• sec(sech(x)*log(x+1))=1+1/2!*x^2-3/3!*x^3+4/4!*x^4-40/5!*x^5...at n=7A012876
• Triangle of D-analogs of Stirling numbers of first kind.at n=24A039762
• Triangle of D-analogs of Stirling numbers of first kind, rows reversed.at n=24A039763
• Triangle of coefficients of polynomials H(n,x) formed from the first (n+1) terms of the power series expansion of ( -x/log(1-x) )^(n+1), multiplied by n!.at n=24A075263
• Expansion of (1-x)/(1-x+2*x^2+2*x^3).at n=14A078022
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x) - x^2/(1-x)^2 + xy*f(x,y)^2.at n=59A086610
• Triangle T(n,k) read by rows: consider the sequence a(m) = a(m-1) + sum_{0<j<=m/n} a(m-j*n) with a(0)=1. Row n of T(n,k) is formed by the coefficients of the recurrence relation of sequence b(i) = a(n*i).at n=48A113445
• Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion.at n=37A134685
• Triangle read by rows: The n-th derivative of the logistic function written in terms of y, where y = 1/(1 + exp(-x)).at n=24A163626
• Inverse of A038303, and generalization of A130595.at n=33A165293
• Triangle T(n,k) read by rows: matrix inverse of A106246.at n=15A167196
• First column of A167196.at n=5A167199
• Irregular triangle read by rows: row n (n > 0) is the expansion of Sum_{m=1..n} A001263(n,m)*x^(m - 1)*(1 - x)^(n - m).at n=54A174128
• Irregular triangle read by rows: row n (n > 0) is the expansion of Sum_{m=1..n} A001263(n,m)*x^(m - 1)*(1 - x)^(n - m).at n=57A174128
• Inversion of e.g.f. formal power series. Partition array in Abramowitz-Stegun (A-St) order.at n=36A176740
• Expansion of (b(q) / b(q^2))^2 in powers of q where b() is a cubic AGM theta function.at n=13A242405
• Triangle read by rows: the negative terms of A163626.at n=10A245602
• Irregular triangle read by rows: universal linear relationships among polynomial means.at n=46A287610