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<DIV><FONT face="MS UI Gothic" size=2> Neil</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2> I submitt two Sigma
sequences.</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2></FONT> </DIV>
<DIV><FONT face="MS UI Gothic" size=2> </FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2> %I
A000001<BR> %S A000001 1, 4, 5, 8, 7, 20, 9, 16, 14, 28, 13,
40, 15, 36, 35, 32, 19, 56, 21, 56<BR> %N A000001
(+2)Sigma(n) : If n=Product p_i^r_i then (+2)Sigma(n)=Product (2+Sum
p_i^s_i, s_i=1 to r_i)=Product(1+(p_i^(r_i+1)-1)/(p_i-1)) ,
<BR>
(+2)Sigma(1)=1 <BR> %e
A000001
(+2)Sigma(6)=(2+2)*(2+3)=20.<BR> %O
A000001 1,2 <BR> %Y
A000001 A000002, A052396<BR> %K
A000001 nonn, mult, <BR> %A
A000001 Yasutoshi Kohmoto (<A
href="mailto:zbi74583@boat.zero.ad.jp">zbi74583@boat.zero.ad.jp</A>)</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2></FONT> </DIV>
<DIV><FONT face="MS UI Gothic" size=2> %I
A000002<BR> %S A000002 1, 4, 5, 6, 7, 20, 9, 10, 11, 28, 13,
30, 15, 36, 35, 18, 19, 44, 21, 42<BR> %N A000002
(+2)UnitarySigma(n) : If n=Product p_i^r_i then (+2)Sigma(n)=Product
(2+p_i^r_i) ,
<BR>
(+2)UnitarySigma(1)=1 <BR> %e
A000001
(+2)UnitarySigma(12)=(2+3)*(2+4)=30.<BR> %O
A000001 1,2 <BR> %Y
A000001 A000001, A054862<BR> %K
A000001 nonn, mult, <BR> %A
A000001 Yasutoshi Kohmoto (<A
href="mailto:zbi74583@boat.zero.ad.jp">zbi74583@boat.zero.ad.jp</A>)<BR></FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2> Yasutoshi</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2>
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