A163752 Generalized factorions: numbers which are equal to the sum of the factorials of some or all of their digits in base 10.

1, 2, 24, 145, 5760, 5761, 5762, 40328, 40585, 362904, 367920, 367921, 367922, 367926, 367928, 367932, 367944

Offset

1,2

Comments

Generalized factorions include factorions (A014080), near-factorions (A163576), and "not-so-near-factorions" such as 362904, which is equal to 9! + 4!.

Links

Table of n, a(n) for n=1..17.

Example

367932 = 3! + 7! + 9! + 3!.

Mathematica

Select[Range[370000], MemberQ[Total[#!]&/@Rest[Subsets[ IntegerDigits[ #]]], #]&] (* Harvey P. Dale, Mar 20 2017 *)

Crossrefs

Superset of A014080 and A163576.

Sequence in context: A290775 A000185 A264566 * A035600 A189247 A234352

Adjacent sequences: A163749 A163750 A163751 * A163753 A163754 A163755

Keyword

base,fini,full,nonn

Author

Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 03 2009

Status

approved