1084483

Properties

Appears in sequences

• Bessel polynomials y_n(x) (see A001498) evaluated at 2.at n=6A001517
• Numerators of approximations to e.at n=42A006258
• Numerators of convergents to e.at n=16A007676
• Square array read by antidiagonals of T(n,k)=(4k-2)*T(n,k-1)+T(n,k-2) with T(n,0)=1 and T(n,1)=n.at n=48A079166
• Expansion of e.g.f. exp(x*C(x)) = exp((1-sqrt(1-4*x))/2), where C(x) is the g.f. of the Catalan numbers A000108.at n=7A080893
• Primes found among the numerators of the continued fraction rational approximations to e.at n=6A086791
• E.g.f.: exp(x)/(1-x)^7.at n=6A096341
• a(3n) = a(3n-1) + a(3n-2), a(3n+1) = 2n*a(3n) + a(3n-1), a(3n+2) = a(3n+1) + a(3n).at n=18A113873
• Numerators of the other-side convergents to e.at n=15A259589
• Integers in the interval [e*k - 1/k, e*k + 1/k] for some k > 0 , where e = 2.71828... is Euler's number.at n=23A265741
• Triangle read by rows: T(n,m) = Sum_{k=m+1..n} (n-1)!/(k-1)!*binomial(2*n-k-1, n-1)*E(k,m) where E(n,m) is Euler's triangle A173018, T(0,0) = 1, n >= m >= 0.at n=28A316773
• Numerators of a sequence of fractions converging to e.at n=10A340737
• Prime numbersat n=84599