On a Rado Type Problem for Homogeneous Second Order Linear Recurrences
نویسندگان
چکیده
In this paper we introduce a Ramsey type function S(r; a, b, c) as the maximum s such that for any r-coloring of N there is a monochromatic sequence x1, x2, . . . , xs satisfying a homogeneous second order linear recurrence axi + bxi+1 + cxi+2 = 0, 1 6 i 6 s − 2. We investigate S(2; a, b, c) and evaluate its values for a wide class of triples (a, b, c).
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 17 شماره
صفحات -
تاریخ انتشار 2010