  We define the notion of sequential Gibbs measures, inspired by on the
classical notion of Gibbs measures and recent examples from the study of
non-uniform hyperbolic dynamics. Extending previous results of
Kempton-Pollicott and Ugalde-Chazottes, we show that the images of one block
factor maps of a sequential Gibbs measure are also a sequential Gibbs measure,
with the same sequence of Gibbs times. We obtain some estimates on the
regularity of the potential of the image measure at almost every point.
