A012099 exp(arcsin(sinh(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+41/5!*x^5...

1, 1, 1, 3, 9, 41, 201, 1403, 9649, 90641, 809201, 9578803, 105268089, 1504717241, 19650225401, 329275068203, 4982657935329, 95780865239841, 1648151554792801, 35749976635509603, 689411371817131369