S_{1,2}

[koh]

    [Definition of {k.l}-Aliquot sequence]
    Let S(n)=Sigma(n)/l-k*n
    a_{m}=S(a_{m-1})

    This is a sequence related with {1,2}-Aliquot.

    Yasutoshi



    %I A000001
    %S A000001 41, 929, 1301, 30240, 32760, 260609
    %N A000001 Let S(n)=Sigma(n)/2-n .
                     Numbers such that S(S(S(S(n))))=n, {1,2}-Sociable number of  order 1 or 2 or 4. .
    %C A000001 Each cycle has some negative integers as members. 
                     If n is a negative integer then Sigma(n)=-Sigma(-n) .
                     Orders of each cycle are 2,2,2,1,1,2
               4 Multiperfect numbers are fixed points of S(n)  
    %H A000001 <a href="http://mathworld.wolfram.com/SociableNumbers.html">WathWorld</a>  
    %Y A000001 A113285
    %K A000001 none
    %O A000001 1,1
    %A A000001 Yasutsohi Kohmoto   zbi74583 at boat.zero.ad,jp