25857

Appears in sequences

• Expansion of e.g.f. sin(sin(sin(x))) (odd powers only).at n=4A003715
• Sum(a(n)*x^n/n!) = exp(sinh(sinh(x))).at n=9A009220
• a(n) = 17*39^n.at n=2A063941
• Expansion of c(q) * c(q^6) / c(q^2)^2 in powers of q where c() is a cubic AGM theta function.at n=54A122830
• a(n) = numerator of Product_{k=1..n} k^mu(n+1-k), where mu(k) = A008683(k).at n=25A130088
• Expansion of f(-x, -x^5) * f(-x^6) / f(-x)^2 in powers of x where f(, ) and f() are Ramanujan theta functions.at n=27A132302
• Expansion of q^(-1/3) * (eta(q^6)^4 / (eta(q) * eta(q^3) * eta(q^4) * eta(q^12)))^2 in powers of q.at n=18A132977
• Number of binary strings of length n with no substrings equal to 000, 010, or 111.at n=46A164317
• Array A(i,j) read by antidiagonals: A(i,j) is the (2i-1)-th derivative of sin(sin(sin(...sin(x)))) nested j times evaluated at 0.at n=25A212261
• van Heijst's upper bound on the number of squares inscribed by a real algebraic curve in R^2 of degree n, if the number is finite.at n=18A239352
• a(n) = 17*n^2.at n=39A244630
• Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction.at n=29A250757
• Number of partitions of 7n into exactly 4 parts.at n=22A256329
• Expansion of ( psi(x^3) * phi(-x^3) / (psi(x) * f(-x^2)) )^2 in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=18A258099
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood.at n=33A271596
• Triangle T read by rows: T(n, m), for n >= 2, and m=1, 2, ..., n-1, equals the positive integer solution x of y^2 = x^3 - A(n, m)^2*x with the area A(n, m) = A249869(n, m) of the primitive Pythagorean triangle characterized by (n, m) or 0 if no such triangle exists.at n=69A278711
• Square array read by descending antidiagonals: (-1)^n*T(n,k)/n! is the coefficient of x^(2*n+1) in the Taylor expansion of the k-th iteration of sin(x).at n=32A366834
• Terms k of A228058 for which A048146(k)+A162296(k) >= 2*k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor.at n=35A389219