cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A239350 Superprimorials squared.

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%I A239350 #10 Feb 25 2025 21:16:14
%S A239350 1,4,144,129600,5715360000,30497732496000000,
%T A239350 27502882612852046400000000,7167813920637790505994548640000000000,
%U A239350 674376505248717910810215697948155164304000000000000,33564007734235791949707248640534383334045138980782017600000000000000
%N A239350 Superprimorials squared.
%C A239350 Square of product of first n primorials = A006939(n)^2.
%C A239350 Smallest number with n distinct even exponents in its prime factorization.
%C A239350 The prime version of Ramanujan's infinite nested radical 1*sqrt(1+2*sqrt(1+3*sqrt(1+...))) is 2*sqrt(1+3*sqrt(1+5*sqrt(1+...))) = sqrt(4+sqrt(144+sqrt(129600+...))) = sqrt(a(1)+sqrt(a(2)+sqrt(a(3)+...))). See A239349 and A055209.
%H A239350 Vincenzo Librandi, <a href="/A239350/b239350.txt">Table of n, a(n) for n = 0..27</a>
%F A239350 a(n) = Product_{k=1..n} A002110(k)^2 = Product_{k=1..n} prime(k)^(2(n-k+1)).
%t A239350 Rest[FoldList[Times, 1, FoldList[Times, 1, Prime[Range[9]]^2]]]
%Y A239350 Cf. A002110, A055209, A006939, A239349.
%K A239350 nonn
%O A239350 0,2
%A A239350 _Jonathan Sondow_, Mar 22 2014