Geodesic
An integer sequence motivated by generalized quadrangles
Journal of integer sequences, Tome 18 (2015) no. 7
In this paper, we prove a closed form for a sequence motivated by the search for new generalized quadrangles of odd order. We present two proofs: a direct proof to explain the closed form's derivation and a shorter inductive argument. The sequence in question is derived from congruences that arise from applying the Hermite-Dickson criterion to a permutation polynomial that is related to the girth of monomial graphs.
Classification : 12E99, 51E12
Keywords: permutation polynomial, monomial graph, generalized quadrangle, girth, cycle 
@article{JIS_2015__18_7_a5,
     author = {Kronenthal,  Brian G.},
     title = {An integer sequence motivated by generalized quadrangles},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {7},
     zbl = {1328.11117},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a5/}
}
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Kronenthal,  Brian G. An integer sequence motivated by generalized quadrangles. Journal of integer sequences, Tome 18 (2015) no. 7. http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a5/