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In the spirit of very recent articles by J. Bonet, W. Lusky and J. Taskinenwe are studying the so-called solid hulls and cores of spaces of weightedentire functions when the weights are given in terms of associated weightfunctions coming from weight sequences. These sequences are required to satisfycertain (standard) growth and regularity properties which are frequentlyarising and used in the theory of ultradifferentiable and ultraholomorphicfunction classes (where also the associated weight function plays a prominentrole). Thanks to this additional information we are able to see which growthbehavior the so-called "Lusky-numbers", arising in the representations of thesolid hulls and cores, have to satisfy resp. if such numbers can exist.

Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions