%I A097061
%S A097061 561,63973,75361,162401,278545,656601,825265,838201,852841,1050985,
%T A097061 1857241,1909001,3224065,3828001,4903921,5444489,5481451,5632705,
%U A097061 5968873,6049681,6189121,7995169,8355841,8830801,8927101,9494101
%N A097061 Carmichael numbers that do not satisfy the rule that every Carmichael 
               number minus one is a Niven/Harshad number.
%C A097061 8355841, 8830801, 8927101 are the first three consecutive Carmichael 
               numbers to fail the criterion. Terms checked up to 10^16.
%D A097061 Granville, Andrew and Pomerance, Carl, Two contradictory conjectures 
               concerning Carmichael numbers. Math. Comp. 71 (2002), no. 238, 883-908.
%H A097061 Rob Hoogers, <a href="http://aibots.myhost24.com/download/carmichael.zip">
               Complete list of terms UP to 10^16 with all relevant data (5.3MB 
               zipped textfile)</a>
%H A097061 Granville, Andrew and Pomerance, Carl, <a href="http://www.dms.umontreal.ca/
               ~andrew/Postscript/TwoContradic.ps">Two contradictory conjectures 
               concerning Carmichael numbers</a>
%F A097061 a(n) = if(sum of digits(n-1))/number of digits<>int(sum of digits(n-1)/
               number of digits, n, 0)
%e A097061 Add all digits in 560 to get 11, which gives 560/11<>int(560/11) and 
               continue likewise with 1104/6==int(1104/6), 1728/18==int(1728/18), 
               etc.
%o A097061 (pseudocode) if((n-1)/digitsum(n-1)<>int(n-1)/digitsum(n-1), n, 0)
%Y A097061 Cf. A002997.
%Y A097061 Sequence in context: A141706 A083736 A006931 this_sequence A139089 A121508 
               A135437
%Y A097061 Adjacent sequences: A097058 A097059 A097060 this_sequence A097062 A097063 
               A097064
%K A097061 nonn
%O A097061 1,1
%A A097061 Rob Hoogers (chimera(AT)chimera.fol.nl), Jul 21 2004
%E A097061 Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 16 2006