E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(x,q) = Sum_{n>=0} sum_{k=0..n*(n-1)/2} T(n,k)*x^n*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.

A322218

E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(x,q) = Sum_{n>=0} sum_{k=0..n*(n-1)/2} T(n,k)*x^n*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =4a(4) =1a(5) =20a(6) =16a(7) =24a(8) =1a(9) =56a(10) =336a(11) =288a(12) =384a(13) =128a(14) =192a(15) =1a(16) =120a(17) =2352a(18) =6448a(19) =12736a(20) =5888a(21) =10176a(22) =5760a(23) =3840a(24) =1280a(25) =1920a(26) =1a(27) =220a(28) =10032a(29) =93280

External references