Search: id:A125723
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%I A125723
%S A125723 1,4,27,16,1,46656,1,256,19683,64,1,2985984,1,64,729,65536,1,34012224,
               1,
%T A125723 4096,729,64,1,191102976,1,64,387420489,4096,1,46656,1,1073741824,729,
%U A125723 64,1,2176782336,1,64,729,262144,1,46656,1,4096,531441,64,1,12230590464
%N A125723 Greatest common divisor of n^6 and 6^n.
%C A125723 All terms are 3-smooth numbers (see A003586), for n>16: a(n)=2^(6*A007814(n))*3^(6*A007949(n));
%C A125723 a(A007310(n)) = 1; a(A047229(n)) > 1 for n>0;
%C A125723 a(n) = GCD(A001014(n),A000400(n)).
%e A125723 a(6)=6^6=A001014(n)=A000400(n)=46656;
%e A125723 a(12)=GCD(12^6,6^12)=GCD((2^12)*(3^6),(2^12)*(3^12))
%e A125723 = (2^12)*(3^6)*GCD(1,3^6)=2985984;
%e A125723 a(120)=GCD(120^6,6^120)=GCD((2^18)*(3^6)*(5^6),(2^120)*(3^120))
%e A125723 = (2^18)*(3^6)*GCD(5^6,(2^102)*(3^114))=191102976.
%Y A125723 Sequence in context: A132488 A144990 A102199 this_sequence A094543 A136511 
               A108138
%Y A125723 Adjacent sequences: A125720 A125721 A125722 this_sequence A125724 A125725 
               A125726
%K A125723 nonn
%O A125723 1,2
%A A125723 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 02 2007

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