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 A340516 Let p_i (i=1..m) denote the primes <= n, and let e_i be the maximum number such that p_i^e_i <= n; then a(n) = Product_{i=1..m} p_i^(2*e_i-1). 2
 1, 2, 6, 24, 120, 120, 840, 3360, 30240, 30240, 332640, 332640, 4324320, 4324320, 4324320, 17297280, 294053760, 294053760, 5587021440, 5587021440, 5587021440, 5587021440, 128501493120, 128501493120, 3212537328000, 3212537328000, 28912835952000, 28912835952000, 838472242608000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is a lower bound on A340515. REFERENCES Heffernan, Robert, Des MacHale, and Brendan McCann. "Cayleyâ€™s Theorem Revisited: Embeddings of Small Finite Groups." Mathematics Magazine 91.2 (2018): 103-111. LINKS Michael De Vlieger, Table of n, a(n) for n = 1..2242 Heffernan, Robert, Des MacHale, and Brendan McCann, Minimal embeddings of small finite groups, arXiv:1706.09286 [math.GR], 2017. See Lemma 2. MATHEMATICA {1}~Join~Table[Times @@ Map[#^(2 Floor@ Log[#, n] - 1) &, Prime@ Range@ PrimePi@ n], {n, 2, 30}] (* Michael De Vlieger, Feb 23 2022 *) CROSSREFS Cf. A340514, A340515. Sequence in context: A242427 A319545 A066616 * A340515 A308819 A319206 Adjacent sequences:  A340513 A340514 A340515 * A340517 A340518 A340519 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 03 2021 STATUS approved

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Last modified July 1 21:41 EDT 2022. Contains 354975 sequences. (Running on oeis4.)