Geodesic
On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance
Journal of integer sequences, Tome 5 (2002) no. 2
In this paper it is shown that for $n$ == 0 or 3 (mod 4), the middle term $S(n)$ in the expansion of the polynomial $(1+x)(1+x$^2)$\dots (1+x^n)$ occurs naturally when one analyzes when a discontinuous product of trigonometric functions is a derivative of a function. This number also represents the number of partitions of $T\_n/2 = n(n+1)/4, (where $
Classification : 05A15, 05A16, 05A17, 05A18, 06A07, 11B75
Keywords: unimodal polynomial, triangular number, derivative, partition, sperner's theorem, generating function (Concerned with sequence 
@article{JIS_2002__5_2_a4,
     author = {Andrica,  Dorin and Tomescu,  Ioan},
     title = {On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance},
     journal = {Journal of integer sequences},
     year = {2002},
     volume = {5},
     number = {2},
     zbl = {1012.05006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a4/}
}
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Andrica,  Dorin; Tomescu,  Ioan. On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance. Journal of integer sequences, Tome 5 (2002) no. 2. http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a4/