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.

A362992 a(n) = (n + 1)^(n - 1) * lcm{k + 1 : 0 <= k <= n}. Main diagonal of triangle A362995.

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%I A362992 #13 Aug 09 2023 08:01:47
%S A362992 1,2,18,192,7500,77760,7058940,220200960,12053081880,252000000000,
%T A362992 65362309994520,1716349336289280,645822919595173320,
%U A362992 20430218263561666560,701330854833984375000,51933349175015422033920,35071094208630625451626320,1487906280482935955379978240
%N A362992 a(n) = (n + 1)^(n - 1) * lcm{k + 1 : 0 <= k <= n}. Main diagonal of triangle A362995.
%F A362992 a(n) = A362995(n, n).
%t A362992 A362992[n_]:=LCM@@Range[n+1](n+1)^(n-1);Array[A362992,20,0] (* _Paolo Xausa_, Aug 09 2023 *)
%o A362992 (SageMath)
%o A362992 def A362992(n: int) -> int:
%o A362992     return (n + 1)^(n - 1) * lcm(k + 1 for k in (0..n))
%o A362992 print([A362992(n) for n in (0..17)])
%o A362992 (PARI) a(n) = (n + 1)^(n - 1) * lcm(vector(n, k, k+1)); \\ _Michel Marcus_, May 20 2023
%Y A362992 Cf. A362995, A000272, A003418.
%K A362992 nonn
%O A362992 0,2
%A A362992 _Peter Luschny_, May 15 2023