[seqfan] Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v

[koh]

    Dear Seqfans

    I submitted Amicable 5-ple sequence.
    It is the first known example.
    More term  are wanted.



    %I A000001
    %S A000001 227491164588441600
    %N A000001 5-ple x,y,z,u,v such that Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v
               Sequence gives the smallest element.
    %C A000001 Resta computed up to 10^7, but no example exists.
    %Y A000001 A000002,A000003,A000004,A000005
    %K A000001 none
    %O A000001 1,1
    %A A000001 Yasutoshi Kohmoto   zbi74583.boat at orange.zero.jp


    %I A000002
    %S A000002 228507506351308800
    %N A000002 5-ple x,y,z,u,v such that Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v
               Sequence gives second smaller element.
    %Y A000002 A000001,A000003,A000004,A000005
    %K A000002 none
    %O A000002 1,1
    %A A000002 Yasutoshi Kohmoto   zbi74583.boat at orange.zero.jp


    %I A000003
    %S A000003 229862628701798400
    %N A000003 5-ple x,y,z,u,v such that Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v
               Sequence gives 3rd smaller element.
    %Y A000003 A000001,A000002,A000004,A000005
    %K A000003 none
    %O A000003 1,1
    %A A000003 Yasutoshi Kohmoto   zbi74583.boat at orange.zero.jp


    %I A000004
    %S A000004 230878970464665600
    %N A000004 5-ple x,y,z,u,v such that Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v
               Sequence gives 4th smaller element.
    %Y A000004 A000001,A000002,A000003,A000005
    %K A000004 none
    %O A000004 1,1
    %A A000004 Yasutoshi Kohmoto   zbi74583.boat at orange.zero.jp


    %I A000005
    %S A000005 243752632794316800
    %N A000005 5-ple x,y,z,u,v such that Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v
               Sequence gives the largest element.
    %Y A000005 A000001,A000002,A000003,A000004
    %K A000005 none
    %O A000005 1,1
    %A A000005 Yasutoshi Kohmoto   zbi74583.boat at orange.zero.jp



    Yasutoshi