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.

A322732

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.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =12a(5) =1a(6) =0a(7) =120a(8) =180a(9) =1a(10) =0a(11) =896a(12) =9520a(13) =2632a(14) =1a(15) =0a(16) =5760a(17) =369600a(18) =504000a(19) =37080a(20) =1a(21) =0a(22) =33792a(23) =12735360a(24) =57376704a(25) =23562000a(26) =487476a(27) =1a(28) =0a(29) =186368

External references