|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
EXAMPLE
|
367932 = 3! + 7! + 9! + 3!.
|
|
MATHEMATICA
|
Select[Range[370000], MemberQ[Total[#!]&/@Rest[Subsets[ IntegerDigits[ #]]], #]&] (* Harvey P. Dale, Mar 20 2017 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,fini,full,nonn
|
|
AUTHOR
|
Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 03 2009
|
|
STATUS
|
approved
|
|
|
|