A012594 sec(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...

1, 0, 1, 6, 25, 140, 1225, 11410, 110353, 1260696, 16597745, 233501598, 3534940649, 58867014180, 1060745261433, 20315286728490, 414362268698017, 9016753267197744, 207836963025430369, 5046234392527982902