A012584 exp(arcsinh(x)*exp(x))=1+x+3/2!*x^2+9/3!*x^3+33/4!*x^4+145/5!*x^5...

1, 1, 3, 9, 33, 145, 715, 3801, 21889, 140001, 974803, 6947017, 50720417, 421135793, 3950147227, 33562929817, 240061039105, 2672302901185, 45695167547043, 388308372326665, -1858226878271967, 9709607588675537