5013504

Appears in sequences

• a(n) = 2^(n-2)*binomial(n+1,2).at n=15A052482
• Sequence associated with a(n) = 2*a(n-1) + k*(k+2)*a(n-2).at n=16A080929
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 387", based on the 5-celled von Neumann neighborhood.at n=22A287955
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 451", based on the 5-celled von Neumann neighborhood.at n=22A288364
• E.g.f. C(x,y) = 1 + Integral S(x,y)*C(y,x) dx such that C(x,y)^2 - S(x,y)^2 = 1 and C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k)*y^(2*k)/(2*n)!, as a triangle of coefficients T(n,k) read by rows.at n=53A322731
• E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(x,y)^2 - S(x,y)^2 = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k)*y^(2*k)/(2*n)!, as a triangle of coefficients T(n,k) read by rows.at n=46A322732
• Denominators of the coefficients in a series for the angles in the Spiral of Theodorus.at n=8A351862
• Expansion of e.g.f. cosh(x)^2*(x+x^2/2).at n=18A385601