[seqfan] Generalized Amicable Number

[zbi74583.boat at orange.zero.jp]

    [ Definition ]
    -1Sigma(x) = -1Sigma(y) = 1/3*((SquareRoot(x)+SquareRoot(y))^2-GCD(x,y))

    See the definition of -1Sigma at A049060
    I computed some terms by hand

    x = 5^2*11*29*2^2*3^2
    y = 5^2*11*29*7^2

    x = 3^2*7*11*29*2^4
    y = 3^2*7*11*29*5^2

    x=y=
    2^2*5, 2^3*3*13, 2^4*3*7*29, 2^5*3*5*61, 2^10*3*5*17*409, 2^9*3*5*17*1021,
2^7*3*5*11^2*13*23*131

    Could anyone confirm them and compute more terms?



    Yasutoshi