A079684 Number of 3's in n!.

0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 5, 3, 2, 1, 3, 3, 2, 1, 7, 2, 3, 7, 4, 5, 1, 5, 3, 5, 3, 9, 3, 5, 1, 5, 7, 6, 6, 6, 4, 9, 8, 5, 3, 4, 5, 8, 8, 4, 8, 5, 9, 7, 7, 6, 9, 10, 5, 7, 8, 6, 10, 7, 11, 7, 9, 10, 8, 8, 15, 10, 13, 8, 10, 13, 8, 12, 10, 6, 18, 12, 12, 15, 9, 12

Offset

0,16

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for sequences related to factorial numbers.

Formula

a(n) = A034886(n) - (A027869(n) + A079680(n) + A079714(n) + A079688(n) + A079690(n) + A079691(n) + A079692(n) + A079693(n) + A079694(n)). - Reinhard Zumkeller, Jan 27 2008

Mathematica

DigitCount[Range[0, 100]!, 10, 3] (* Harvey P. Dale, Jul 04 2014 *)

Crossrefs

Cf. A079714.

Cf. A000142, A137579, A137580.

Sequence in context: A085097 A374132 A117997 * A358138 A376599 A033761

Adjacent sequences: A079681 A079682 A079683 * A079685 A079686 A079687

Keyword

nonn,base,easy

Author

Cino Hilliard, Jan 31 2003

Extensions

Corrected by Jason Earls, Jul 06 2003

Status

approved