Triangle T(n,k) defined by the generating function cosh(sqrt(y)*arcsin(x)) + sqrt(y)*sinh(sqrt(y)*arcsin(x)) - 1 = Sum_{n>=1} Sum_{k=1..n} T(n,k)*y^k *x^n/n!.

A091885

Triangle T(n,k) defined by the generating function cosh(sqrt(y)*arcsin(x)) + sqrt(y)*sinh(sqrt(y)*arcsin(x)) - 1 = Sum_{n>=1} Sum_{k=1..n} T(n,k)*y^k *x^n/n!.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =9a(7) =10a(8) =1a(9) =64a(10) =20a(11) =1a(12) =225a(13) =259a(14) =35a(15) =1a(16) =2304a(17) =784a(18) =56a(19) =1a(20) =11025a(21) =12916a(22) =1974a(23) =84a(24) =1a(25) =147456a(26) =52480a(27) =4368a(28) =120a(29) =1

External references