Geodesic
Partitions excluding specific polygonal numbers as parts
Journal of integer sequences, Tome 7 (2004) no. 2
Zbl   EuDML
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 
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/
@article{JIS_2004__7_2_a6,
     author = {Sellers,  James A.},
     title = {Partitions excluding specific polygonal numbers as parts},
     journal = {Journal of integer sequences},
     year = {2004},
     volume = {7},
     number = {2},
     zbl = {1064.05019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_2_a6/}
}
TY  - JOUR
AU  - Sellers,  James A.
TI  - Partitions excluding specific polygonal numbers as parts
JO  - Journal of integer sequences
PY  - 2004
VL  - 7
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JIS_2004__7_2_a6/
LA  - en
ID  - JIS_2004__7_2_a6
ER  - 
%0 Journal Article
%A Sellers,  James A.
%T Partitions excluding specific polygonal numbers as parts
%J Journal of integer sequences
%D 2004
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/JIS_2004__7_2_a6/
%G en
%F JIS_2004__7_2_a6