2. BASIC PROPERTIES OF ADMISSIBLE ARRAYS 9
2. there is an integer r 1 such that gcd(a,/?)|r for all a,/3 e R with a ^ /?
and
3- UpeRf3 rn* w h e r e n* := n - EaeQ a -
An example of a set that does not satisfy condition E for n equal to 24 is
5-{4,10,14,22}.
The motivation for Definitions 2.1-2.5 is provided by the following theorem
(see [13])
THEOREM
2.6. If a set S c {1,2,... ,n} is array-admissible for n, then S
satisfies conditions A,B,C,D and E for n.
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