398848
domain: N
Appears in sequences
- arctanh(sec(x)*arcsinh(x))=x+4/3!*x^3+88/5!*x^5+4184/7!*x^7...at n=4A012830
- log(arcsinh(x)+cos(x)) = x-2/2!*x^2+4/3!*x^3-16/4!*x^4+88/5!*x^5...at n=9A013115
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.at n=18A285828
- 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 C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k)*y^(2*k)/((2*n-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.at n=33A322221
- E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(y,x)^2 - S(y,x)^2 = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k)*y^(2*k)/((2*n-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.at n=30A322222
- E.g.f. G(x,y) = Integral C(x,y)*S(y,x) dx such that C(x,y)^2 + S(x,y)^2 = 1 and S(y,x) = Integral C(x,y)*C(y,x) dy, as a triangle of coefficients T(n,k) read by rows.at n=22A367382