-370

Appears in sequences

• Expansion of e.g.f. arcsinh(arcsin(x) * exp(x)).at n=6A012322
• Series(W(exp(1)*(1+x)), x) = sum( a[ n ]/(2^(2*n)*n!), n=0..infinity), where W is the Lambert W function.at n=4A013703
• McKay-Thompson series of class 10c for Monster.at n=29A058204
• Expansion of Product_{k>=1} (1 - 2x^k).at n=45A070877
• 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=48A086610
• Matrix inverse of triangle A099602, read by rows, where row n of A099602 equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907).at n=62A104495
• McKay-Thompson series of class 40d for the Monster group.at n=55A112182
• Expansion of (phi(-q) / phi(-q^2))^3 * phi(q^3)^5 / phi(-q^6) in powers of q where phi() is a Ramanujan theta function.at n=27A134078
• Triangle of coefficients of p(x,n) = (1/4)*(1-x)^(n+1)*Sum_{m >= 0} ((2*m- 1)^n - (2*m+3)^n)*x^m, read by rows.at n=17A154852
• Triangle read by rows: t(n,m) = Sum_{i=0..n} (-1)^(m-i)*Eulerian1(n-i+1, m-i) *Stirling2(n+i+1, i+1), where Eulerian1 are the Eulerian numbers of the first kind (A173018).at n=17A156364
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=11A227695
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=27A227695
• Expansion of psi(x^2)^2 * phi(-x^2)^6 + 8 * x * psi(x^2)^6 * phi(-x^2)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=22A228072
• Coefficient of x in minimal polynomial of the continued fraction [1^n,phi,1,1,1,...], where 1^n means n ones and phi = golden ratio = (1 + sqrt(5))/2.at n=5A266708
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=8.at n=25A275642
• Expansion of f(-x)^3 * f(-x^2) * chi(-x^3)^3 in powers of x where chi(), f() are Ramanujan theta functions.at n=31A280328
• a(0)=0; thereafter a(n) = a(n-1)+n if the (n-1)st digit of the sequence is even, otherwise a(n) = a(n-1)-n.at n=52A309216
• The sequence is {a(n), n>=0}, the concatenation of the binary expansions of the absolute values |a(n)| is {b(n), n>=0}; start with a(0)=0; thereafter a(n) = a(n-1)+n if b(n-1)=0, otherwise a(n) = a(n-1)-n.at n=51A309217
• Dirichlet inverse of A064664, the inverse permutation of EKG-sequence.at n=49A323411
• Expansion of g.f. A(x) satisfying A( A(x^2) + C(x) ) = x, where C(x) = x + C(x)^2 is the Catalan function (A000108).at n=5A373311