[seqfan] m-Infinitary Amicable Pair
zbi74583_boat at yahoo.co.jp
zbi74583_boat at yahoo.co.jp
Thu Nov 15 03:47:01 CET 2018
Hi Seqfans Once I generalized InfinitarySigma(n) to m-InfinitarySigma(n) For example m=3, 4, 5
http://oeis.org/A049418
http://oeis.org/A074847
http://oeis.org/A097863
I have computed Perfect Number for these m-I-Sigma function. But I haven't computed m-Infinitary Amicable Pair. So I computed some term of {x(n), y(n)} for m=3 {x(n), y(n)} : 3-Infinitary Amicable Pair 3-I-Sigma(x) = 3-I-Sigma(y) = x+y
{x(n), y(n) : {2^2*5*11, 2^2*71}, {2^3*3^2*13*5*11, 2^3*3^2*13*71}, {2^4*3^3*5*11, 2^4*3^3*71}, {2*3^3*7*5*17,2*3^3*7*107}, {3^2*7*13*5*17, 3^2*7*13*107}, {2*3^3*5*11*19, 2*3^3*5*239}, {3^2*5*13*11*19, 3^2*5*13*239}, ....
Could anyone confirm them and compute more terms?
Yasutoshi
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