Basically, being attracted to not just two sexes like bisexual implies. They're attracted to ALL genders. This means the pansexual person is attracted to, or can be attracted to, males, females, intersexes, pangenders, androgynes, agenders, genderqueers, bigenders and many more.
1: Are you bisexual?
2: No, I'm pansexual. I like all genders, not just two like "bi"sexual implies. Because pan means all.
A pansexual is someone who isn't influenced by the binaries and labels surrounding gender and sexuality. This can mean attraction to anyone regardless of their gender identity or sexual orientation. Some pansexuals take it a step further to be openly against those labels and definitions, considering them to be destructive and alienating.
During their date he was relieved to find out she was pansexual, and that sharing his transgendered status wouldn't be the hassle it often was with other people.