Search: id:A061299
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%I A061299
%S A061299 720,2880,46080,25920,184320,2949120,129600,414720,11796480,1658880,
%T A061299 188743680,3732480,2073600,26542080,12079595520,14929920,48318382080,
%U A061299 106168320,8294400,3092376453120,1698693120,18662400,238878720
%N A061299 Least number such that number of divisors is n-th term from the product 
               of 3 distinct primes sequence A007304.
%F A061299 a(n)=A005179[A007304(n)]; Min{x; A000005(x)=pqr} p, q, r are distinct 
               primes. If k=pqr, p>q>r then A005179(k)=2^(p-1)*3^(q-1)*5^(r-1).
%F A061299 A000005(a(n))=A007304(n) and A000005(m)<>A007304(n) for m<a(n); a(n) 
               = A005179(A007304(n)); a(p*m*q) = 2^(q-1) * 3^(m-1) * 5^(p-1) for 
               primes p<m<q; a(A000040(i)*A000040(j)*A000040(k)) = 2^(A084127(k)-1) 
               * 3^(A084127(j)-1) * 5^(A084127(i)-1) for i<j<k. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Jul 15 2004
%e A061299 n=5, A007304(5)=78=2.3.13, A005179(78)=184320= (2^12)*(3^2)*(5^1)=a(5) 
               All terms are divisible by a(1)=720, the first entry. All terms[=a(j)], 
               not only arguments[=j] have 3 distinct prime factors at exponents 
               determined by the p,q,r factors of their arguments: a(pqr)=RPQ.
%Y A061299 Cf. A000005, A005179, A007304, A061148, A061149.
%Y A061299 Cf. A096932, A061234, A061286.
%Y A061299 Sequence in context: A052800 A052794 A096933 this_sequence A167563 A053625 
               A052793
%Y A061299 Adjacent sequences: A061296 A061297 A061298 this_sequence A061300 A061301 
               A061302
%K A061299 nonn
%O A061299 1,1
%A A061299 Labos E. (labos(AT)ana.sote.hu), Jun 05 2001
%E A061299 Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 20 2007

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