Consider the e.g.f. A(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k+1) * y^(2*k) / (2*n+1)! and related functions B(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of A(x,y).
A326797
Consider the e.g.f. A(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k+1) * y^(2*k) / (2*n+1)! and related functions B(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of A(x,y).
Terms
- a(0) =1a(1) =-1a(2) =-3a(3) =1a(4) =-30a(5) =5a(6) =-1a(7) =315a(8) =525a(9) =-7a(10) =1a(11) =-1260a(12) =18270a(13) =-2940a(14) =9a(15) =-1a(16) =3465a(17) =-496650a(18) =-695310a(19) =10395a(20) =-11a(21) =1a(22) =-7722a(23) =4279275a(24) =-52144092a(25) =7702695a(26) =-28314a(27) =13a(28) =-1a(29) =15015
External references
- oeis: A326797