Geodesic
From a School Question to a Problem for Students
Matematičeskoe obrazovanie, no. 3 (2005), pp. 51-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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The authors analyse different generalizations of a simple problem on existence of a number sequence with a prescribed "unusual" property. 
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P. I. Samovol; M. Applebaum. From a School Question to a Problem for Students. Matematičeskoe obrazovanie, no. 3 (2005), pp. 51-57. http://geodesic.mathdoc.fr/item/MO_2005_3_a3/