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

koh zbi74583.boat at orange.zero.jp
Sun Nov 23 05:27:14 CET 2008

```    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

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