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 A002809 Increasing values of A000793 (largest order of permutation of n elements). (Formerly M0577 N0210) 6
 1, 2, 3, 4, 6, 12, 15, 20, 30, 60, 84, 105, 140, 210, 420, 840, 1260, 1540, 2310, 2520, 4620, 5460, 9240, 13860, 16380, 27720, 30030, 32760, 60060, 120120, 180180, 360360, 471240, 510510, 556920, 1021020, 1141140, 2042040, 3063060, 3423420, 6126120, 6846840 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz and Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 3318 terms from Alois P. Heinz) Marc Deléglise and Jean-Louis Nicolas, Maximal product of primes whose sum is bounded, arXiv preprint arXiv:1207.0603, 2012. - From N. J. A. Sloane, Dec 17 2012 J.-L. Nicolas, Sur l'ordre maximum d'un élément dans le groupe S_n des permutations, Acta Arith., 14 (1968), 315-332. J.-L. Nicolas, Ordre maximal d'un element du groupe S_n de permutations et 'highly composite numbers', Bull. Math. Soc. France 97 (1969) 129-191. MATHEMATICA b[n_, i_] := b[n, i] = Module[{p}, p = If[i<1, 1, Prime[i]]; If[n == 0 || i<1, 1, Max[b[n, i-1], Table[p^j*b[n-p^j, i-1], {j, 1, Log[p, n] // Floor}]]]]; a[n_] := b[n, If[n<8, 3, PrimePi[Ceiling[1.328*Sqrt[n*Log[n] // Floor]]]]]; Table[a[n], {n, 0, 100}] // Union (* Jean-François Alcover, Mar 07 2014, after Alois P. Heinz *) CROSSREFS Cf. A000793. Sequence in context: A057919 A102250 A084788 * A015904 A015888 A173581 Adjacent sequences:  A002806 A002807 A002808 * A002810 A002811 A002812 KEYWORD nonn,nice AUTHOR EXTENSIONS Description improved Apr 15 1997. More terms from David W. Wilson. STATUS approved

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Last modified May 26 09:37 EDT 2020. Contains 334620 sequences. (Running on oeis4.)