The classic suggestion is Brualdi, there's also R. Stanley Enumerative Combinatorics http://www-math.mit.edu/~rstan/ec/

but right now I'm starting with basics on S. Gill Williamson Foundations of Combinatorics with Application.

I don't mind pure reasoning, but I need practical programming uses to at some point. (maybe joblessness anxiety showing)

I also have some graph books but since it relies on combinatorics rapidly ..