A079688 Number of 4's in n!.

0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 3, 1, 2, 4, 2, 3, 2, 4, 3, 1, 1, 0, 3, 4, 3, 3, 3, 3, 3, 4, 3, 6, 2, 5, 4, 3, 3, 4, 3, 7, 3, 5, 7, 6, 6, 13, 8, 8, 7, 10, 4, 4, 8, 10, 8, 16, 10, 7, 13, 6, 5, 10, 7, 7, 13, 11, 11, 10, 4, 13, 13, 16, 10, 8, 15, 14, 10, 18, 6, 13, 12, 17, 12

Offset

0,20

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) + A079684(n) + A079690(n) + A079691(n) + A079692(n) + A079693(n) + A079694(n)). - Reinhard Zumkeller, Jan 27 2008

Mathematica

DigitCount[#, 10, 4]&/@(Range[0, 100]!) (* Harvey P. Dale, Jul 30 2015 *)

Crossrefs

Cf. A079714.

Cf. A000142, A137579, A137580.

Sequence in context: A089282 A308640 A369852 * A346264 A261789 A282972

Adjacent sequences: A079685 A079686 A079687 * A079689 A079690 A079691

Keyword

nonn,base,easy

Author

Cino Hilliard, Jan 31 2003

Status

approved