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a(0) = 1; for n>0, if gcd(a(n-1),n) = 1 then a(n) = n*a(n-1) else a(n) = least integer multiple of a(n-1)/n.
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%I #10 Apr 06 2021 08:05:55

%S 1,1,2,6,3,15,5,35,280,2520,252,2772,231,3003,429,143,2288,38896,

%T 19448,369512,92378,1939938,88179,2028117,676039,16900975,1300075,

%U 35102025,5014575,145422675,9694845,300540195,9617286240,3205762080,94287120

%N a(0) = 1; for n>0, if gcd(a(n-1),n) = 1 then a(n) = n*a(n-1) else a(n) = least integer multiple of a(n-1)/n.

%H Scott R. Shannon, <a href="/A094299/b094299.txt">Table of n, a(n) for n = 0..1000</a>

%e a(5) = 15 hence a(6) = least integer multiple of 15/6 = 5.

%o (PARI) a=1;for(n=2,35,print1(a,",");d=gcd(a,n);a=if(d==1,a*n,a/d))

%Y Cf. A055773.

%K nonn,easy

%O 0,3

%A _Amarnath Murthy_, Apr 29 2004

%E Terms a(14) to a(34) and PARI code from _Klaus Brockhaus_, Apr 29 2004

%E Extended to include a(0) by _N. J. A. Sloane_, Dec 23 2007