A012099 Expansion of e.g.f.: 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

Offset

0,4

Links

Table of n, a(n) for n=0..20.

Mathematica

With[{nn=20}, CoefficientList[Series[Exp[ArcSin[Sinh[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 21 2024 *)

Crossrefs

Sequence in context: A325289 A274739 A012246 * A159039 A074502 A109743

Adjacent sequences: A012096 A012097 A012098 * A012100 A012101 A012102

Keyword

nonn

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

Definition clarified by Harvey P. Dale, Apr 21 2024

Status

approved