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 A007672 a(n) = A002034(n)!/n. (Formerly M1669) 5
 1, 1, 2, 6, 24, 1, 720, 3, 80, 12, 3628800, 2, 479001600, 360, 8, 45, 20922789888000, 40, 6402373705728000, 6, 240, 1814400, 1124000727777607680000, 1, 145152, 239500800, 13440, 180, 304888344611713860501504000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS A. J. Kempner, Miscellanea, Amer. Math. Monthly, 25 (1918), 201-210 [ See Section II, "Concerning the smallest integer m! divisible by a given integer n". ] MATHEMATICA a[n_] := Module[{m = 1, x = n, as = 1, p}, While[x > 1, m++; p = GCD[x, m]; x = x/p; as *= m/p]; as]; Array[a, 30] (* Jean-François Alcover, May 09 2017, after Antonio Roldán *) PROG (PARI) a(n)={local(m=1, x=n, as=1, p); while(x>1, m++; p=gcd(x, m); x=x/p; as*=m/p); as} \\ Antonio Roldán, Apr 04 2015 CROSSREFS Sequence in context: A327426 A086554 A213324 * A322255 A084337 A323615 Adjacent sequences:  A007669 A007670 A007671 * A007673 A007674 A007675 KEYWORD nonn,nice AUTHOR STATUS approved

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Last modified October 21 21:46 EDT 2019. Contains 328315 sequences. (Running on oeis4.)