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<DIV><FONT face="MS UI Gothic" size=2> Neil </FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2></FONT> </DIV>
<DIV><FONT face="MS UI Gothic" size=2> I post a multiplicative
sequence.</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, 3, 2, 5, 4, 6, 6, 9, 8, 12, 10, 10,
12, 18, 8, 17, 16, 24, 18, 20, <BR> %N A000001
UnitarySigmaUnitaryPhi(n) or USUP(n) <BR> %C A000001 USUP(n)
is defined as
follows.<BR>
If n=Product p_i^r_i then USUP(n)=
UnitarySigma(2^r_1)*UnitaryPhi(n/2^r_1)<BR>
= (2^r_1+1)*Product(p_i^r_i-1), 2<p_i.</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2></FONT> </DIV>
<DIV><FONT face="MS UI Gothic"
size=2>
So USUP(n) = UnitarySigma(n) if
n=2^r<BR>
= UnitaryPhi(n) if GCD(2,n)=1</FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2></FONT> </DIV>
<DIV><FONT face="MS UI Gothic" size=2> %e A000001
USUP(2^4*7^2)=UnitarySigma(2^4)*UnitaryPhi(7^2)=17*48= 816<BR></FONT></DIV>
<DIV><FONT face="MS UI Gothic" size=2> %Y A000001
A093760 <BR> %K A000001 none,
mult<BR> %O A000001 1,2<BR> %A A000001
Yasutsohi Kohmoto (<A
href="mailto:zbi74583@boat.zero.ad.jp">zbi74583@boat.zero.ad.jp</A>).
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