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+1-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.
A322220
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+1-2*k)!*(2*k)!), as a triangle of coefficients T(n,k) read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =1a(6) =1a(7) =33a(8) =33a(9) =1a(10) =1a(11) =277a(12) =561a(13) =277a(14) =1a(15) =1a(16) =2465a(17) =10545a(18) =10545a(19) =2465a(20) =1a(21) =1a(22) =22149a(23) =220065a(24) =368213a(25) =220065a(26) =22149a(27) =1a(28) =1a(29) =199297
External references
- oeis: A322220