-728

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=11A001486
• q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).at n=56A002284
• Expansion of 1 / Sum_{n=-oo..oo} x^(n^2).at n=13A004402
• E.g.f.: Expansion of sin(tan(x)*exp(x)).at n=6A009512
• arcsinh(sec(x)*arctan(x))=x+28/5!*x^5-728/7!*x^7+54416/9!*x^9...at n=3A012808
• Expansion of (1-4*x)^(13/2).at n=11A020925
• Expansion of Product_{m>=1} (1+q^m)^(-6).at n=9A022601
• Expansion of Product_{m>=1} (1 + m*q^m)^-4.at n=11A022696
• a(n) = 1 - n^3.at n=9A024001
• a(n) = 1 - n^6.at n=3A024004
• McKay-Thompson series of class 8b for Monster.at n=18A058088
• McKay-Thompson series of class 12E for the Monster group.at n=15A058483
• McKay-Thompson series of class 8c for the Monster group.at n=18A112145
• Inverse Euler transform of A118052.at n=55A118054
• Number triangle T(n,k)=(-1)^(n-k)*(3k+2)*C(3n+1, n-k)/(2n+k+2).at n=15A124821
• Coefficient table for sums over product of adjacent Chebyshev S-polynomials.at n=68A128497
• Expansion of (phi(x) * psi(-x))^4 in powers of x where phi(), psi() are Ramanujan theta functions.at n=35A134461
• Triangle read by rows: coefficients of polynomials defined by recursion p(x,n)=(x-Gamma(n))*p(x,n-1).at n=17A136457
• Triangular sequence from coefficients of a switched even -odd polynomial recursion: Even:p(x,n)=2*x*p(x, n - 1) - p(x, n - 2); Odd:p(x,n)=(1 - 2*x)*p(x, n - 1) - p(x, n - 2);.at n=48A137406
• A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)*x^i*y^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).at n=41A139584