104932671488
domain: N
Appears in sequences
- Expansion of e.g.f.: cosh(log(1+sin(x))).at n=16A009123
- E.g.f. (1/2) * tan(x)^2 (even powers only).at n=8A024283
- Denominator of 2*n*A000111(n-1)/A000111(n): approximations of Pi using Euler (up/down) numbers.at n=16A132050
- E.g.f.: sec(x)^3+(sec(x)^2*tan(x)).at n=15A225688
- E.g.f.: sec(x)^2*tan(x)+sec(x)*tan(x)^2.at n=15A225689
- Related to Euler numbers, expansion of e.g.f. tan(x)^2.at n=14A259688
- E.g.f.: C(x,k) = 1 + Integral S(x,k)*D(x,k)^2 dx, such that C(x,k)^2 - S(x,k)^2 = 1, and D(x,k)^2 - k^2*S(x,k)^2 = 1, as a triangle of coefficients read by rows.at n=43A322231
- E.g.f. S(x,y) = sin(x) / sqrt(1 - sin(x)^2 - sin(y)^2).at n=37A324610
- E.g.f. S(y,x) = sin(y) / sqrt(1 - sin(x)^2 - sin(y)^2).at n=43A324612
- E.g.f.: D(x,k) = dn( i * Integral C(x,k) dx, k) such that C(x,k) = cn( i * Integral C(x,k) dx, k), where D(x,k) = Sum_{n>=0} Sum_{j=0..n} T(n,j) * x^(2*n)*k^(2*j)/(2*n)!, as a triangle of coefficients T(n,j) read by rows.at n=37A325222
- a(n) = Sum_{k=0..n-2} A205497(n, k) * (1 - k mod 2) if n >= 2, a(0) = a(1) = 1.at n=17A373752
- a(n) = Sum_{k=0..n-2} A205497(n, k) * (k mod 2).at n=17A373753