

A163752


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


0



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

1,2


COMMENTS

Generalized factorions include factorions (A014080), nearfactorions (A163576), and "notsonearfactorions" 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



