Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.

A080894

Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =19a(4) =169a(5) =2001a(6) =29371a(7) =516643a(8) =10590609a(9) =248113729a(10) =6541248691a(11) =191719042131

External references