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 A366368 a(n) = LCM of pairwise products of distinct integers from {1,2,...,n}. 3
 1, 1, 2, 6, 24, 120, 360, 2520, 10080, 30240, 151200, 1663200, 1663200, 21621600, 151351200, 151351200, 605404800, 10291881600, 30875644800, 586637251200, 586637251200, 586637251200, 6453009763200, 148419224553600, 148419224553600, 742096122768000, 9647249595984000, 28941748787952000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A003418(n) divides a(n), which in turn divides A003418(n)^2. Furthermore, A003418(n)^2 / a(n) = A366369(n) is squarefree. LINKS Table of n, a(n) for n=0..27. FORMULA a(n) = A003418(n)^2 / A366369(n). a(n) = A003418(n) * A139550(n) = A003418(n) * A003418(floor(n/2)). PROG (PARI) a366368(n) = my(k, r); r=1; forprime(p=2, n, k=logint(n, p); r *= p^(2*k - (n<2*p^k)) ); r; CROSSREFS Cf. A003418, A139550, A366369. Sequence in context: A276839 A364425 A178010 * A355988 A330043 A062348 Adjacent sequences: A366365 A366366 A366367 * A366369 A366370 A366371 KEYWORD nonn AUTHOR Max Alekseyev, Oct 08 2023 STATUS approved

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Last modified September 17 21:55 EDT 2024. Contains 375990 sequences. (Running on oeis4.)