摘要
For given integers a, b and k with a,b】0,the sequence U={u<sub>m</sub>}<sub>m=1</sub><sup>∞</sup> is definedrecursively by u<sub>1</sub>=a,u<sub>2</sub>=b and u<sub>m</sub>=u<sub>m-1</sub>+u<sub>m-2</sub>+k（m≥3）. Let N be the set of positive integers,the set M N.A pair of sets M<sub>1</sub> and M<sub>2</sub> is calledan（a,b,k）-partition of M if M=M<sub>1</sub>∪M<sub>2</sub>,M<sub>1</sub>∩M<sub>2</sub>= and the sum of any two
<正> For given integers a, b and k with a,b>0,the sequence U={um}m=1∞is definedrecursively by u1=a,u2=b and um=um-1+um-2+k（m≥3）. Let N be the set of positive integers,the set M N.A pair of sets M1and M2is calledan（a,b,k）-partition of M if M=M1∪M2,M1∩M2= and the sum of any two distinct
基金
Project supported by the National Natural Science Foundation of China.
