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On a linear diophantine problem for geometrical type sequences. (English) Zbl 0615.10021
Let $$A=\{a_ 0,a_ 1,...,a_ n\}$$ be a set of relatively prime positive integers, g(A) the Frobenius number, i.e. the greatest b for which $$b=\sum^{n}_{i=0}a_ ix_ i$$ has no solution in nonnegative integers $$x_ i$$, and n(A) the number of all positive b for which there is no such solution.
In this paper the author gives the exact values of g(A) and n(A) in the case where the set A forms an almost geometric progression $$a_ j=h_ ja_ 0+\prod^{j-1}_{i=0}q_ i$$ for $$j=1,...,n$$, $$g.c.d.(a_ 0,q_ 0)=0$$ with $$a_ 0$$, $$h_ j$$, $$q_{j-1}$$, $$j=1,...,n$$ given positive integers.
Reviewer: J.Piehler

##### MSC:
 11D04 Linear Diophantine equations 90C10 Integer programming
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##### References:
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