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COMMENTS
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If m is in this sequence and 5 doesn't divide m then m is an odd Weird number. There are no other terms up to 2*10^9. Jud McCranie wrote: There are no terms between 2*10^9 and 6.5*10^9.
a(4) > 10^12. - Donovan Johnson, Dec 08 2011
a(4) > 10^13. - Giovanni Resta, Mar 29 2013
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REFERENCES
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S. Benkoski, "Are All Weird Numbers Even?" Amer. Math. Monthly 79, 774, 1972.
R. K. Guy, "Almost Perfect, Quasi-Perfect, Pseudoperfect, Harmonic, Weird, Multiperfect and Hyperperfect Numbers." B2 in Unsolved Problems in Number Theory, 2nd ed.New York:Springer- Verlag, pp. 45-53, 1994.
C. Rivera, Puzzle 233, www.primepuzzles.net
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MATHEMATICA
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Do[If[OddQ[n] && DivisorSigma[1, n] - 2n == 6, Print[n]], {n, 2*10^9}]
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