58337

Properties

Appears in sequences

• Even coefficients in expansion of e.g.f. cos(x)/sqrt(cos(2*x)).at n=4A012085
• sech(arctan(sin(x)))=1-1/2!*x^2+17/4!*x^4-721/6!*x^6+58337/8!*x^8...at n=4A012193
• Expansion of e.g.f. exp(arctanh(tan(x))).at n=8A012259
• Area of all nondecreasing Dyck paths of length 2n.at n=8A061648
• Primes of the form p^2 + q^8 where p and q are primes.at n=13A122710
• Absolute values of numerators of series expansion of cosh(x)/sqrt((cosh(x))^2+(sinh(x))^2) about 0 (even-indexed coefficients only).at n=4A128274
• Hafnian of a +/-1 array.at n=8A202038
• Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced.at n=40A270884
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 + x/(1 - 2^k*x/(1 + 3^k*x/(1 - 4^k*x/(1 + 5^k*x/(1 - ...)))))).at n=53A291207
• a(n) = Sum_{k=0..n} binomial(n+k-1,k) * binomial(2*n+k-1,n-k).at n=6A378460
• Prime numbersat n=5906