A014080 - OEIS

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A014080

Factorions: equal to the sum of the factorials of their digits in base 10.

1, 2, 145, 40585 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`Base 6 also has four factorions, as does base 15. - Alonso del Arte, Oct 20 2012`
	REFERENCES	`J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 145, p. 50, Ellipses, Paris 2008.` `Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 68.` `Joe Roberts, "The Lure of the Integers", page 35.` `D. Wells, Curious and interesting numbers, Penguin Books, p. 125.`
	LINKS	`Table of n, a(n) for n=1..4.` `Project Euler, Problem 34` `Eric Weisstein's World of Mathematics, Factorion`
	EXAMPLE	`1! + 4! + 5! = 1 + 24 + 120 = 145, therefore 145 is in the sequence.`
	MATHEMATICA	`Select[Range[50000], Plus @@ (IntegerDigits[ # ]!) == # &] (* Alonso del Arte, Jan 14 2008 *)`
	CROSSREFS	`Cf. A193163.` `Sequence in context: A074319 A188284 A071064 * A182478 A214910 A110624` `Adjacent sequences: A014077 A014078 A014079 * A014081 A014082 A014083`
	KEYWORD	`nonn,fini,full,base,changed`
	AUTHOR	`David W. Wilson`
	EXTENSIONS	`Additional reference from Felice Russo.`
	STATUS	`approved`

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Last modified May 23 12:11 EDT 2013. Contains 225587 sequences.