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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
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!.
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
KEYWORD
base,fini,full,nonn
AUTHOR
Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 03 2009
STATUS
approved