[regex] Regular expression - starting and ending with a letter, accepting only letters, numbers and _

I'll take a stab at it:

/^[a-z](?:_?[a-z0-9]+)*$/i

Explained:

/
 ^           # match beginning of string
 [a-z]       # match a letter for the first char
 (?:         # start non-capture group
   _?          # match 0 or 1 '_'
   [a-z0-9]+   # match a letter or number, 1 or more times
 )*          # end non-capture group, match whole group 0 or more times
 $           # match end of string
/i           # case insensitive flag

The non-capture group takes care of a) not allowing two _'s (it forces at least one letter or number per group) and b) only allowing the last char to be a letter or number.

Some test strings:

"a": match
"_": fail
"zz": match
"a0": match
"A_": fail
"a0_b": match
"a__b": fail
"a_1_c": match