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A067171 Numbers n such that sigma(n+1)+sigma(n)=sigma(2n+1). +0
3
1, 4, 646, 1096, 16174, 22891, 64672, 353110, 468970, 515698, 733570, 1317343, 1633213, 1735288, 2026945, 2093506, 2709542, 4413772, 5005825, 5346241, 5388154, 6134527, 12811666, 15453229, 19063174, 20565214, 22172791, 35476021 (list; graph; listen)
OFFSET

1,2

COMMENT

Integer solutions x to (q=sigma[x]+sigma[x+1])/sigma[x+x+1] such that q=1, i.e. sigma[x]+sigma[x+1])=sigma[2x+1]; sigma[]=A000203. - Labos E. (labos(AT)ana.sote.hu), Feb 16 2004

MATHEMATICA

Do[s=(DivisorSigma[1, n]+DivisorSigma[1, n+1])/ DivisorSigma[1, 2*n+1]; If[Equal[s, 1], Print[n]], {n, 1, 10000000}] - Labos E. (labos(AT)ana.sote.hu), Feb 16 2004

CROSSREFS

Cf. A000203, A091287-A091290.

Sequence in context: A069641 A079103 A091288 this_sequence A046348 A114765 A159618

Adjacent sequences: A067168 A067169 A067170 this_sequence A067172 A067173 A067174

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 18 2002

EXTENSIONS

More terms from Labos E. (labos(AT)ana.sote.hu), Feb 16 2004

Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 02 2008 at the suggestion of R. J. Mathar

a(22)-a(28) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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