Semi Integer Multiply Perfect
koh
zbi74583 at boat.zero.ad.jp
Sat May 10 02:49:34 CEST 2008
Neil
I submit generalized Multiply Perfect Number sequence
I think these are finite.
Could anyone compute more terms?
%I A000001
%S A000001 24,91963648,10200236032
%N A000001 Semi Integer Multiply Perfect Number such that Sigma(m)=k*m , where k=n/2 for some integer n.
For k=1/2 , no example.
For k=3/2 , only one m=2.
Sequence gives the case of k=5/2
Factorization : 2^3*3
2^8*7*19*37*73
2^14*7*19*31*151
%Y A000001 A000002,A000003
%K A000001 none
%O A000001 1,1
%A A000001 Yasutoshi Kohmoto zbi74583 at boat.zero.ad.jp
%I A000002
%S A000002 4680,26208,197064960,20427264,57575890944,21857648640,230361837156847526055247872
%N A000002 Semi Integer Multiply Perfect Number such that Sigma(m)=k*m , where k=n/2 for some integer n.
Sequence gives the case of k=7/2
Factorization :2^3*3^2*5*13
2^5*3^2*7*13
2^8*3*5*19*37*73
2^9*3^2*11*13*31
2^13*3^2*11*13*43*127
2^14*3*5*19*31*151
2^25*3^4*11^2*19^2*127*683*2731*8191
%Y A000002 A000001,A000003
%K A000002 none
%O A000002 1,1
%A A000002 Yasutoshi Kohmoto zbi74583 at boat.zero.ad.jp
%I A000003
%S A000003 8841105,8583644160,206166804480
%N A000003 Semi Integer Multiply Perfect Number such that Sigma(m)=k*m , where k=n/2 for some integer n.
Sequence gives the case of k=9/2
Factorization :2^7*3^2*5*7*13*17
2^10*3^2*5*7*13*23*89
2^11*3^2*5*7*13^2*31*61
%Y A000003 A000001,A000002
%K A000003 none
%O A000003 1,1
%A A000003 Yasutoshi Kohmoto zbi74583 at boat.zero.ad.jp
Yasutoshi
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