A178223 Numbers n such that the digits of n are also digits of n! (counting multiplicity).

1, 2, 4, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112

Offset

1,2

Links

Table of n, a(n) for n=1..93.

Example

23 is in the sequence because 2 and 3 are digits of 23! = 25852016738884976640000 ;
28 is not in the sequence because 2 is not a digit of 28! = 304888344611713860501504000000.
11 is not in the sequence because 11! = 39916800 contains only a single "1".

Mathematica

Reap[Do[a = DigitCount[n!]; b = DigitCount[n]; If[Min[a-b] >= 0, Sow[n]], {n, 1, 10^3}]][[2, 1]]

Crossrefs

Cf. A064827

Sequence in context: A316389 A133521 A122158 * A033180 A215815 A295826

Adjacent sequences: A178220 A178221 A178222 * A178224 A178225 A178226

Keyword

nonn,base

Author

Michel Lagneau, Dec 20 2010

Status

approved