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.

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

Summary: 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 
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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/