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A112721 Numbers n such that phi(n)=d_1^1+d_2^2+...+d_k^k where d_1 d_2 ... d_k is the decimal expansion of n. 1
1, 44, 84, 5676, 32186, 35097, 128476, 527048, 700298, 12141094, 43874279, 58730238, 303387848, 2277279428 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

a(15) > 6*10^10. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 09 2010]

EXAMPLE

phi(12141094)=1^1+2^2+1^3+4^4+1^5+0^6+9^7+4^8 so 12141094 is in

the sequence.

MATHEMATICA

Do[d=IntegerDigits[n]; k=Length[d]; If[EulerPhi[n]==Sum[d[[j]]^j, {j, k}], Print[n]], {n, 30000000}]

CROSSREFS

Cf. A032799, A035138, A112718-20.

Sequence in context: A043209 A043989 A050272 * A195816 A118087 A044182

Adjacent sequences:  A112718 A112719 A112720 * A112722 A112723 A112724

KEYWORD

base,fini,more,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Sep 17 2005

EXTENSIONS

a(11)-a(12) from Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 04 2009

a(13)-a(14) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 09 2010

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Last modified February 16 11:30 EST 2012. Contains 205907 sequences.