GolfScript, 61 bytes

1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6

This takes advantage of comments (#) and the undocumented "super-comments" (everything following an unmatched } it is silently ignored).

_ is a noop. It could be replaced by whitespace, but the underscores seem more readable to me...

Try it online.

Example run

$ cat nth-char.gs
16,{)"1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6".@%~}%n*
$ golfscript nth-char.gs
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
1
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
2
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
3
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
4
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
5
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
6
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
7
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
8
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
9
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
10
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
11
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
12
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
13
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
14
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
15
1})_#;#;;00123358_(_};}_}_}} _}_(__6
_})4_)_+)__(__}__;_}___6
16