-824

Appears in sequences

• Expansion of e.g.f.: tanh(arcsin(x)*exp(x))=x+2/2!*x^2+2/3!*x^3-16/4!*x^4-160/5!*x^5...at n=7A012323
• exp(cos(x)-sech(x))=1-4/4!*x^4+60/6!*x^6-824/8!*x^8+120/10!*x^10...at n=4A013482
• McKay-Thompson series of class 30C for Monster.at n=47A058614
• McKay-Thompson series of class 30C for the Monster group with a(0) = -1.at n=47A132321
• a(n) = Hermite(n,2).at n=6A144141
• Numerators of the inverse binomial transform of a shuffled sequence of "original" Bernoulli and Bernoulli numbers.at n=18A176150
• The 6th Hermite Polynomial evaluated at n: H_6(n) = 64*n^6-480*n^4+720*n^2-120.at n=2A247851
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+3)^k for 0 <= k <= n.at n=32A248811
• Array of coefficients of the minimal polynomial of (2*cos(Pi/15))^n, for n >= 1 (ascending powers).at n=53A307886
• a(n) = H(3*n, n), where H(n,x) is n-th Hermite polynomial.at n=2A349067
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (-k/2)^j * binomial(n-j,j)/(n-j)!.at n=72A362277
• Expansion of e.g.f. exp(x - 5*x^2/2).at n=6A362279
• Expansion of g.f. A(x,y) satisfying 0 = Sum_{n=-oo..+oo} x^n * A(x,y)^n * (y - x^(n-1))^(n+1), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=32A366730
• E.g.f. C(x,y) = 1 - Integral S(x,y)*C(y,x) dx such that C(x,y)^2 + S(x,y)^2 = 1 and S(y,x) = Integral C(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows.at n=16A367381