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Search: id:A101697
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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. +0
4
1, 67585, 84466, 854696 (list; graph; listen)
OFFSET

1,2

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.

Adjacent sequences: A101694 A101695 A101696 this_sequence A101698 A101699 A101700

Sequence in context: A092376 A043591 A022256 this_sequence A104948 A093217 A031845

KEYWORD

base,fini,full,nonn

AUTHOR

Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Dec 12 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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