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%I #4 May 14 2023 09:39:14
%S 1,1,1,6,2,30,10,420,84,1260,420,13860,132,180180,60060,360360,24024,
%T 6126120,291720,116396280,705432,116396280,38798760,2677114440,
%U 9806280,13385572200,13385572200,40156716600,2677114440,1164544781400,5041319400,72201776446800
%N a(n) = lcm({i + 1, i = 0..n}) / Product_{d | n, d + 1 prime} d.
%p LCM := n -> ilcm(seq(i + 1, i = 0..n)):
%p Clausen := n -> if n = 0 then 1 else
%p mul(i, i = select(isprime, map(i -> i+1, NumberTheory:-Divisors(n)))) fi:
%p A362989 := n -> LCM(n) / Clausen(n): seq(A362989(n), n = 0..31);
%Y Cf. A003418 (lcm), A160014 (Clausen).
%K nonn
%O 0,4
%A _Peter Luschny_, May 14 2023