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%I #17 Mar 04 2018 17:44:50
%S 1,2,2,5,9,14,10,17,25,34,22,3,5,18,16,31,47,64,41,60,4,25,47,70,47,
%T 72,49,76,26,55,17,48,5,38,36,71,107,144,91,10,5,46,44,87,131,176,111,
%U 158,103,152,101,152,51,104,79,134,95,8,33,92,38,99,161,32,3,68,67,2,35,104
%N a(0)=1; for n > 0, a(n) = (1/n + 1/a(n-1))*lcm(n, a(n-1)).
%C Equivalently, a(0)=1; a(n) = (a(n-1)+n)/gcd(n,a(n-1)). - _Ctibor O. Zizka_, Feb 15 2008
%H Harvey P. Dale, <a href="/A131133/b131133.txt">Table of n, a(n) for n = 0..1000</a>
%p a[0] := 1; for n to 70 do a[n] := (1/n+1/a[n-1])*lcm(n, a[n-1]) end do; seq(a[n], n = 0 .. 70) # _Emeric Deutsch_, Jun 21 2007
%t nxt[{n_,a_}]:={n+1,(1/(n+1)+1/a)LCM[n+1,a]}; Transpose[NestList[nxt,{0,1},70]][[2]] (* _Harvey P. Dale_, Mar 04 2013 *)
%Y Cf. A131134.
%K nonn
%O 0,2
%A _Leroy Quet_, Jun 17 2007
%E More terms from _Emeric Deutsch_, Jun 21 2007
%E Edited by _N. J. A. Sloane_, May 16 2008 at the suggestion of _R. J. Mathar_