E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 - S(x,y)^2 = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n+1-2*k)*y^(2*k)/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.
A322730
E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)^2 - S(x,y)^2 = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n+1-2*k)*y^(2*k)/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.
Terms
- a(0) =1a(1) =1a(2) =3a(3) =1a(4) =50a(5) =5a(6) =1a(7) =693a(8) =1155a(9) =7a(10) =1a(11) =9972a(12) =70686a(13) =23268a(14) =9a(15) =1a(16) =135575a(17) =3479850a(18) =4871790a(19) =406725a(20) =11a(21) =1a(22) =1727622a(23) =157346475a(24) =631853508a(25) =283223655a(26) =6334614a(27) =13a(28) =1a(29) =20926185
External references
- oeis: A322730