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.
A322731
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.
Terms
- a(0) =1a(1) =1a(2) =0a(3) =1a(4) =12a(5) =0a(6) =1a(7) =180a(8) =120a(9) =0a(10) =1a(11) =2632a(12) =9520a(13) =896a(14) =0a(15) =1a(16) =37080a(17) =504000a(18) =369600a(19) =5760a(20) =0a(21) =1a(22) =487476a(23) =23562000a(24) =57376704a(25) =12735360a(26) =33792a(27) =0a(28) =1a(29) =6045676
External references
- oeis: A322731