This is an announcement for the paper "Constructions of sequential spaces" by Jarno Talponen. Abstract: We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. We obtain some interesting examples of Banach spaces with a 1-unconditional basis. Archive classification: math.FA Mathematics Subject Classification: 46B45; 46B20 The source file(s), lpt.tex: 33888 bytes, is(are) stored in gzipped form as 0905.0812.gz with size 10kb. The corresponding postcript file has gzipped size 78kb. Submitted from: talponen@cc.helsinki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.0812 or http://arXiv.org/abs/0905.0812 or by email in unzipped form by transmitting an empty message with subject line uget 0905.0812 or in gzipped form by using subject line get 0905.0812 to: math@arXiv.org.