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Group the even numbers as 2, (4,6), (8,10,12), (14,16,18,20), (22,24,26,28,30), ... then a(n) = LCM of the n-th group.
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%I #9 Mar 18 2018 04:07:34

%S 2,12,120,5040,120120,3255840,248648400,3389158080,893252440080,

%T 147413193127200,354447322669440,343973251893070800,

%U 6580115259104106720,1102084393565113358400,142057610393676828570720

%N Group the even numbers as 2, (4,6), (8,10,12), (14,16,18,20), (22,24,26,28,30), ... then a(n) = LCM of the n-th group.

%H Harry J. Smith, <a href="/A062080/b062080.txt">Table of n, a(n) for n = 1..100</a>

%e a(3) = lcm(8,10,12) = 120.

%o (PARI) for(n=1,20,l=1:forstep(s=n^2-n+2,n^2+n,2,l=lcm(l,s)):print1(l","))

%o (PARI) { for (n=1, 100, a=b=n^2 - n + 2; for (k=1, n - 1, a=lcm(a, b + 2*k)); write("b062080.txt", n, " ", a) ) } \\ _Harry J. Smith_, Jul 31 2009

%K nonn

%O 1,1

%A _Amarnath Murthy_, Jun 15 2001

%E More terms from _Ralf Stephan_, Mar 19 2003