# How to design a contrast matrix with combined levels for a categorical variable?

I wish to make a contrast matrix in the case of a linear model. I have one factor with three levels: T, N and A. I want the contrasts T vs N, T vs A and T vs (N and A combined). It is the last contrast with combined levels that cause troubles.

The "correct" result I can get by redefining N and A to a new combined level L and then make a one column contrast matrix T = 1, L = -1. But how to do it when this level is split into two?

The T = 2, N = -1, A = -1 column does not give the result of the above one col contrast.

I'm implementing it in R. The number of observations are T=30, N=14, A=15