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A072868 Numbers n such that sigma(sigma(n)-n) = n. 0
4, 8, 32, 128, 8192, 524288, 2147483648, 2305843009213693952, 618970019642690137449562112 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

It seems that a(n)=2^A000043(n) = M(n)+1 where M(n) is the n-th Mersenne prime

MATHEMATICA

f[n_]:=Plus@@Divisors[Plus@@Divisors[n]-n]==n; lst={}; Do[If[f[n], AppendTo[lst, n]], {n, 9!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 14 2010]

CROSSREFS

Cf. A000043.

Sequence in context: A103970 A034785 A075398 * A098579 A032467 A009265

Adjacent sequences:  A072865 A072866 A072867 * A072869 A072870 A072871

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 27 2002

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.