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A112646 Special solutions to Abs[sigma[x+1]-sigma[x]]=2 where x+1 = 3^y. 2
8, 26, 2186, 1594322, 7509466514979724803946715958257546, 13915193059764305937984450503671774362956903094026 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The relevant computed exponents providing -1+3^z solutions for A112645 are 2,3,7,13,71,103.

The next term, if it exists, is too large to include here. - N. J. A. Sloane, Jul 12 2009

Contribution from David Wasserman (dwasserm(AT)earthlink.net), Jul 06 2009: No more terms < 10^86.

MATHEMATICA

ta={{0}}; Do[s=Abs[DivisorSigma[1, 3^n]-DivisorSigma[1, -1+3^n]]; If[Equal[s, 2], ta=Append[ta, n]; Print[ -1+3^n]], {n, 1, 100000000}]; ta=Delete[ta, 1]

CROSSREFS

Cf. A000203, A112645, A112647.

Sequence in context: A000810 A171740 A129663 * A119522 A070494 A070493

Adjacent sequences:  A112643 A112644 A112645 * A112647 A112648 A112649

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 28 2005

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.