2008 = 251(2+5+1): Properties of a New Number
نویسندگان
چکیده
A new integer sequence defined on the basis of the EP numbers is introduced (A117570). The EP numbers are defined as ( ) ( )( ) Q P C B A Q Pb Cb Bb Ab x EP n n n + + + + + + + + + + = − − L L 2 1 , where , e non-negative integers and b is the base. We illustrate some general characteristics of EP numbers and the EP sequence. We observe the existence of pairs of consecutive EP numbers (twin EP numbers) as well as the existence of EP numbers that can be built by different ways. The EP sequence appears to be uniformly distributed and the plot of x vs. ( ) x EP disp characteristic piecewise parabolic shape. Q Pb Cb Bb Ab x n n n + + + + + = − − L 2 1 Q C B A n , , , , , L ar
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