Multiplicative

[kohmoto]

    Hi, Mitch

    The following two sequences are also mutiplicative.
    And I give their formulas.

    A033634 :
    OddPowerSigma(n) : Sum of odd power divisors of n
   .
    Formula:   If n = Product p_i^r_i then OPSigma(n) = Product 
(1+(p_i^(s_i+2)-p_i)/(p_i^2-1)), where si=ri when ri is odd, si=ri-1 when ri 
is even.

    A051378
    (1+e)Sigma(n) : Sum of  (1+e)divisors of n:
    Formula: If x = Product p_i^r_i then (1+e)Sigma(x) = Product (Sum 
p_i^s_i, s_i = 0 or s_i divides r_i).

    Yasutoshi