Search: id:A037992
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%I A037992
%S A037992 1,2,6,24,120,840,7560,83160,1081080,17297280,294053760,5587021440,
%T A037992 128501493120,3212537328000,93163582512000,2888071057872000,
%U A037992 106858629141264000,4381203794791824000,188391763176048432000
%N A037992 Smallest number with 2^n divisors.
%C A037992 a(n)= A052330(2^n -1). - Tomasz Ordowski (ordot(AT)poczta.onet.pl), Jun 
               29 2005
%H A037992 T. D. Noe, <a href="b037992.txt">Table of n, a(n) for n=0..100</a>
%F A037992 a(n)=product of the first n entries of A050376(n). - Lekraj Beedassy 
               (blekraj(AT)yahoo.com), Jun 30 2004
%F A037992 A001221(a(n+1))<=A001221(a(n))+1, see also A074239; A007847(a(n)) are 
               primorials (A002110) in nondecreasing order. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Apr 16 2006
%o A037992 (PARI) {a(n)= local(A,m,c,k,p); if(n<1, n==0, c=0; A=1; m=1; while( c<n, 
               m++; if( isprime(m)| ( (k=ispower(m, (null),&p))&isprime(p)& k ==2^valuation(k,
               2) ), A*=m; c++)); A)} /* Michael Somos Apr 15 2005 */
%Y A037992 A000005(a(n))=A000079(n).
%Y A037992 Sequence in context: A114790 A079854 A024923 this_sequence A114779 A144167 
               A104983
%Y A037992 Adjacent sequences: A037989 A037990 A037991 this_sequence A037993 A037994 
               A037995
%K A037992 nonn,nice
%O A037992 0,2
%A A037992 J. Lowell (jhbubby(AT)avana.net)
%E A037992 More terms from Don Reble (djr(AT)nk.ca), Aug 20 2002

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