%I A060819
%S A060819 1,1,3,1,5,3,7,2,9,5,11,3,13,7,15,4,17,9,19,5,21,11,23,6,25,13,27,7,29,
%T A060819 15,31,8,33,17,35,9,37,19,39,10,41,21,43,11,45,23,47,12,49,25,51,13,53,
%U A060819 27,55,14,57,29,59,15,61,31,63,16,65,33,67,17,69,35,71,18,73,37,75,19
%N A060819 a(n) = n / gcd(n,4).
%C A060819 a(n) = A167192(n+4,4). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Oct 30 2009]
%H A060819 Harry J. Smith, <a href="b060819.txt">Table of n, a(n) for n=1,...,1000</
               a>
%F A060819 G.f.: (x^7+x^6+3x^5+x^4+3x^3+x^2+x)/(1-x^4)^2
%F A060819 a(n) = n/16*(11-5*(-1)^n-i^n-(-i)^n). - Ralf Stephan (ralf(AT)ark.in-berlin.de), 
               Mar 15 2003
%F A060819 a(2n+1) = a(4n+2) = 2n+1, a(4n+4) = n+1. - Ralf Stephan, Jun 10 2005
%F A060819 Multiplicative with a(2^e) = 2^max(0, e-2), a(p^e) = p^e, p >= 3 (from 
               Mitch Harris, Jun 29 2005)
%o A060819 (Other) sage: [lcm(n,4)/4for n in xrange(1, 77)] # [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jun 07 2009]
%o A060819 (PARI) { for (n=1, 1000, write("b060819.txt", n, " ", n / gcd(n, 4)); 
               ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 12 2009]
%Y A060819 Cf. A026741, A051176, A060791, A060789.
%Y A060819 Sequence in context: A162742 A081432 A136655 this_sequence A089654 A097062 
               A077881
%Y A060819 Adjacent sequences: A060816 A060817 A060818 this_sequence A060820 A060821 
               A060822
%K A060819 nonn,easy,mult
%O A060819 1,3
%A A060819 Len Smiley (smiley(AT)math.uaa.alaska.edu), Apr 30 2001
%E A060819 More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001