951878656

Appears in sequences

• Expansion of e.g.f.: cosh(log(1+sin(x))).at n=14A009123
• E.g.f. (1/2) * tan(x)^2 (even powers only).at n=7A024283
• Denominator of 2*n*A000111(n-1)/A000111(n): approximations of Pi using Euler (up/down) numbers.at n=14A132050
• E.g.f.: sec(x)^3+(sec(x)^2*tan(x)).at n=13A225688
• E.g.f.: sec(x)^2*tan(x)+sec(x)*tan(x)^2.at n=13A225689
• Related to Euler numbers, expansion of e.g.f. tan(x)^2.at n=12A259688
• 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=34A322231
• E.g.f. S(x,y) = sin(x) / sqrt(1 - sin(x)^2 - sin(y)^2).at n=29A324610
• E.g.f. S(y,x) = sin(y) / sqrt(1 - sin(x)^2 - sin(y)^2).at n=34A324612
• 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=29A325222
• a(n) = Sum_{k=0..n-2} A205497(n, k) * (1 - k mod 2) if n >= 2, a(0) = a(1) = 1.at n=15A373752
• a(n) = Sum_{k=0..n-2} A205497(n, k) * (k mod 2).at n=15A373753