A118381 Largest 3-smooth number dividing n!.

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

Links

Amiram Eldar, Table of n, a(n) for n = 1..1861 (terms below 10^1000)

Index entries for sequences related to factorial numbers.

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

Cf. A003586, A000142, A011371, A054861, A060818, A060828.

Sequence in context: A068819 A060068 A099732 * A123145 A232981 A304039

Adjacent sequences: A118378 A118379 A118380 * A118382 A118383 A118384

Keyword

nonn

Author

Reinhard Zumkeller, May 16 2006

Extensions

More terms from Amiram Eldar, Jan 29 2020

Status

approved