Consider the e.g.f. D(x,y) = sqrt(1/2) * Sum_{n>=0} Sum_{k=0..2*n} T(n,k) * x^(2*n-k) * y^k / ((2*n-k)!*k!) and related functions S(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<=2*n) of D(x,y).

A326802

Consider the e.g.f. D(x,y) = sqrt(1/2) * Sum_{n>=0} Sum_{k=0..2*n} T(n,k) * x^(2*n-k) * y^k / ((2*n-k)!*k!) and related functions S(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<=2*n) of D(x,y).

Terms

    a(0) =1a(1) =-1a(2) =1a(3) =0a(4) =1a(5) =0a(6) =0a(7) =-1a(8) =0a(9) =-1a(10) =0a(11) =8a(12) =-8a(13) =0a(14) =1a(15) =0a(16) =1a(17) =0a(18) =-24a(19) =0a(20) =0a(21) =24a(22) =0a(23) =-1a(24) =0a(25) =-1a(26) =0a(27) =48a(28) =0a(29) =-576

External references