A072295 Smallest factorial containing exactly n 1's.

1, 87178291200, 121645100408832000, 15511210043330985984000000, 263130836933693530167218012160000000, 815915283247897734345611269596115894272000000000

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..83

Formula

a(n) = A000142(A072124(n)). - Amiram Eldar, Sep 01 2020

Example

a(2) = 87178291200 since 87178291200 is the smallest factorial containing exactly two 1's.

Mathematica

With[{fctrs=Range[100]!}, Table[First[Select[fctrs, DigitCount[#, 10, 1] == n&]], {n, 10}]] (* Harvey P. Dale, Sep 29 2011 *)

Crossrefs

Cf. A000142, A072124.

Sequence in context: A164727 A164728 A011525 * A172538 A045519 A283459

Adjacent sequences: A072292 A072293 A072294 * A072296 A072297 A072298

Keyword

base,nonn

Author

Shyam Sunder Gupta, Jul 30 2002

Status

approved