-1859

Appears in sequences

• Expansion of exp(x)*cos(log(1+x)).at n=8A009280
• E.g.f.: tanh(arcsin(arctan(x))), odd powers only.at n=3A012094
• E.g.f.: exp(arctan(arctan(x))) = 1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+49/5!*x^5...at n=7A012203
• sinh(arctan(arctan(x)))=x-3/3!*x^3+49/5!*x^5-1859/7!*x^7+119617/9!*x^9...at n=3A012206
• Second differences of A000463; first differences of A188652.at n=60A188653
• Values of n such that L(14) and N(14) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=8A227517
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood.at n=25A272114
• G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (x*y)^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=46A355344