-3024

Appears in sequences

• Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).at n=7A012699
• Expansion of e.g.f.: sinh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...at n=7A012703
• Expansion of sinh(log(1+x)^2)/2.at n=7A024335
• Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).at n=18A057383
• Expansion of a Schwarzian ({f_{27|3}, tau} / (4*Pi)^2) in powers of q^3.at n=5A062248
• Triangular table of coefficients of the Hermite polynomials, divided by 2^floor(n/2).at n=50A067613
• Expansion of 1/(1-x*(1-5*x)).at n=11A106854
• Triangle of trinomial logarithmic coefficients: A027907(n,k) = Sum_{i=0..k} T(k,i)*n^i/k!.at n=51A136590
• A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)].at n=29A158199
• First differences of A169699.at n=55A169700
• Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x.at n=41A174893
• Table T(n,m) read by rows: the coefficient of [t^n x^m] of 2*n!*(n+2)!*exp(x*t)*( t*(1-exp(t))-exp(t) ) / (1-exp(t) ), 0<=m<=n+1.at n=35A176990
• Triangle t(n,m) read by rows which contains in row n integer values of n! * binomial(n+m+1,m+1) / binomial(n-m-1,m+1) sorted along increasing m.at n=8A176993
• a(n) = 2*(n+2)!*(zeta(-2*n)-zeta(-n)), zeta(n) the Riemann zeta function.at n=7A178235
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(log(1+x)*m) = sum(n>=m, T(n,m) x^n*m!/n!).at n=41A202185
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-1, 2j-1) (A204022).at n=22A204023
• Expansion of eta(q)^9 * eta(q^5)^3 in powers of q.at n=43A227900
• Exponential generating function = (1+x)^(1-x^2).at n=8A247256
• Nearest integer to n^2*sin(n).at n=55A274087
• G.f.: Sum_{n>=0} (n+1) * x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+2).at n=29A326285