A012321 sinh(arcsin(x)*exp(x))=x+2/2!*x^2+5/3!*x^3+20/4!*x^4+125/5!*x^5...

1, 2, 5, 20, 125, 830, 6001, 45768, 394553, 3699418, 38758909, 433324828, 5299232757, 68428221654, 958395448297, 14101599762448, 223667919165041, 3706771205012274, 65843651814440309, 1215858569345385636