The Collaborative International Dictionary of English v.0.48:

Inviting \In*vit"ing\, a.
   Alluring; tempting; as, an inviting amusement or prospect.
   [1913 Webster]

         Nothing is so easy and inviting as the retort of abuse
         and sarcasm.                             --W. Irving.
   -- In*vit"ing*ly, adv. -- In*vit"ing*ness, n. --Jer.
   Taylor.
   [1913 Webster]

WordNet (r) 3.0 (2006):

invitingly
    adv 1: in a tantalizing manner; "she smiled at him
           tantalizingly" [syn: tantalizingly, invitingly]