A092788

[kohmoto]

    Mitch
 .
    I saw A092788 on your "possibly multiplicative sequences" site.
    USUP Perfect number is not multiplicative.

    UnitarySigmaUnitaryPhi(n) or USUP(n) is a multiplicative function.
    The definition is as follows.
    If n=Product p_i^r_i then USUP(n)= 
UnitarySigma(2^r_1)*UnitaryPhi(n/2^r_1)
                                                 = 
(2^r_1+1)*Product(p_i^r_i-1), 2<p_i.

    I will soon post it to OEIS.

    Neil
    I found a mistake on %e line of A092760.
    fails :
     a(12)=2^20*4278255361*F_0*F_1*F_2*F_3*F_4
    correct :
     a(12)=2^40*4278255361*F_0*F_1*F_2*F_3*F_4
          the second number is a cyclotomic prime.

    The question :                  :
    "Mathematics or food"
    My answer is Mathematics.
    Don't mind.
    God will save me.

    Yasutoshi
 
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