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%I #18 Jun 16 2018 18:36:33
%S 1,2,24,8640,653184000,114069441024000000,
%T 598216546007097937920000000000,
%U 1601591599167888308924824752807936000000000000000
%N Superduperprimorials: product of first n terms in Chernoff sequence.
%C First number with n distinct positive triangular exponents in its prime factorization. Subsequence of A025487. - _Matthew Vandermast_, Nov 05 2009; edited May 23 2012
%H Harry J. Smith, <a href="/A066120/b066120.txt">Table of n, a(n) for n = 0..17</a>
%F a(n) = Product_{i=1..n} prime(i)^((n-i+1)*(n-i+2)/2) = a(n-1)*A006939(n) = A066119(n-3, 4).
%e a(4) = 2*(2*(2*3))*(2*(2*3)*(2*3*5)) = 2*(2*6)*(2*6*30) = 2*12*360 = 8640.
%o (PARI) { for (n=0, 17, a=1; for(i=1, n, a*=prime(i)^((n - i + 1)*(n - i + 2)/2)); write("b066120.txt", n, " ", a) ) } \\ _Harry J. Smith_, Feb 01 2010
%Y Cf. A000040, A002110, A006939, A055462, A166475.
%K nonn,easy
%O 0,2
%A _Henry Bottomley_, Dec 05 2001