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A101697 Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n. 3
1, 67585, 84466, 854696 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..4.

EXAMPLE

854696 is in the sequence because phi(854696)=8!+5!+4!+6!+9!+6!.

MATHEMATICA

Do[h = IntegerDigits[n]; l = Length[h]; If[EulerPhi[n] == Sum[h[[k]]!, {k, l}], Print[n]], {n, 10000000}]

CROSSREFS

Cf. A100416.

Sequence in context: A198537 A249208 A234120 * A247221 A224655 A234655

Adjacent sequences:  A101694 A101695 A101696 * A101698 A101699 A101700

KEYWORD

base,fini,full,nonn

AUTHOR

Farideh Firoozbakht, Dec 12 2004

STATUS

approved

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Last modified April 27 10:41 EDT 2017. Contains 285512 sequences.