A007374 and A014573

Max relf at unn.ac.ru
Tue Apr 12 10:20:44 CEST 2005


Hi seqfans!

Is there a reason to keep these two sequence in the OEIS?
Why not just the latter one?

Max


%I A007374 M1093
%S A007374 1,2,4,8,12,32,36,40,24,48,160,396,2268,704,312,72,336,216,936,144,624,
%T A007374 1056,1760,360,2560,384,288,1320,3696,240,768,9000,432,7128,4200,480,
%U A007374 576,1296,1200,15936,3312,3072,3240,864,3120,7344,3888,720,1680,4992
%N A007374 Smallest k such that phi(x) = k has exactly n solutions.
%C A007374 Carmichael conjectured that no term exists for n=1.
%D A007374 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Appli\
   ed Math. Series 55, 1964 (and various reprintings), p. 840.
%H A007374 E. W. Weisstein, <a href="http://mathworld.wolfram.com/C/CarmichaelsConjecture.html">Carmichael's conjecture\
   </a>
%H A007374 E. W. Weisstein, <a href="http://mathworld.wolfram.com/TotientValenceFunction.html">Phi function.</a>
%t A007374 a = Table[ 0, {10^5} ]; Do[ s = EulerPhi[ n ]; If[ s < 100001, a[ [ s ] ]++ ], {n, 1, 10^6} ]; Do[ k = 1; Wh\
   ile[ a[ [ k ] ] != n, k++ ]; Print[ k ], {n, 2, 75} ]
%Y A007374 Cf. A000010. Essentially same as A014573.
%Y A007374 Adjacent sequences: A007371 A007372 A007373 this_sequence A007375 A007376 A007377
%Y A007374 Sequence in context: A082906 A085083 A076745 this_sequence A076202 A018671 A018442
%K A007374 nonn,easy,nice
%O A007374 2,2
%A A007374 njas, Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)


%I A014573
%S A014573 3,0,1,2,4,8,12,32,36,40,24,48,160,396,2268,704,312,72,336,216,936,144,
%T A014573 624,1056,1760,360,2560,384,288,1320,3696,240,768,9000,432,7128,4200,
%U A014573 480,576,1296,1200,15936,3312,3072,3240,864,3120,7344,3888,720,1680
%N A014573 Smallest k such that phi(x) = k has exactly n solutions.
%C A014573 Carmichael conjectured that no term exists for n=1.
%D A014573 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Appli\
   ed Math. Series 55, 1964 (and various reprintings), p. 840.
%H A014573 E. W. Weisstein, <a href="http://mathworld.wolfram.com/C/CarmichaelsConjecture.html">Carmichael's conjecture\
   </a>
%Y A014573 Cf. A000010. Essentially same as A007374.
%Y A014573 Adjacent sequences: A014570 A014571 A014572 this_sequence A014574 A014575 A014576
%Y A014573 Sequence in context: A100749 A097610 A049765 this_sequence A067166 A071818 A014513
%K A014573 nonn
%O A014573 0,1
%A A014573 Eric W. Weisstein (eric(AT)weisstein.com)






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