Geodesic
Partitions excluding specific polygonal numbers as parts
Journal of integer sequences, Tome 7 (2004) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Many results appear in the literature involving partitions of an integer $n$ into parts which are certain polygonal numbers (such as triangular numbers or squares). However, few results appear which deal with partition functions that exclude specific polygonal numbers as parts. We consider such functions in this note, and prove two families of partition identities.
Classification : 05A17
Keywords: partition, polygonal number, generating function, geometric series 
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     title = {Partitions excluding specific polygonal numbers as parts},
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Sellers, James A. Partitions excluding specific polygonal numbers as parts. Journal of integer sequences, Tome 7 (2004) no. 2. http://geodesic.mathdoc.fr/item/JIS_2004__7_2_a6/