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A118381
Largest 3-smooth number dividing n!.
2
1, 2, 6, 24, 24, 144, 144, 1152, 10368, 20736, 20736, 248832, 248832, 497664, 1492992, 23887872, 23887872, 429981696, 429981696, 1719926784, 5159780352, 10319560704, 10319560704, 247669456896, 247669456896, 495338913792, 13374150672384, 53496602689536, 53496602689536
OFFSET
1,2
FORMULA
a(n) = A060818(n) * A060828(n).
MATHEMATICA
s[n_, b_] := Sum[IntegerExponent[k, b], {k, 1, n}]; a[n_] := 2^s[n, 2] * 3^s[n, 3]; Array[a, 30] (* Amiram Eldar, Jan 29 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, May 16 2006
EXTENSIONS
More terms from Amiram Eldar, Jan 29 2020
STATUS
approved