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A007593 2-hyperperfect numbers: n=2(sigma(n)-n-1)+1.
(Formerly M5121)
+0
7
21, 2133, 19521, 176661, 129127041 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, B2.

Daniel Minoli, Sufficient Forms For Generalized Perfect Numbers, Ann. Fac. Sciences, Univ. Nation. Zaire, Section Mathem; Vol. 4, No. 2, Dec 1978, pp. 277-302.

Daniel Minoli, New Results For Hyperperfect Numbers, Abstracts American Math. Soc., October 1980, Issue 6, Vol. 1, pp. 561.

Daniel Minoli, Issues in non-linear hyperperfect numbers, Math. Comp., 34 (1980), 639-645.

Daniel Minoli, Structural Issues For Hyperperfect Numbers, Fibonacci Quarterly, Feb. 1981, Vol. 19, No. 1, pp. 6-14.

Daniel Minoli, Voice Over MPLS, McGraw-Hill, 2002, New York, NY, see pp. 112-134.

Daniel Minoli and Robert Bear, Hyperperfect Numbers, PME Journal, Fall 1975, pp. 153-157.

Daniel Minoli and W. Nakamine, Mersenne Numbers Rooted On 3 For Number Theoretic Transforms, 1980 IEEE International Conf. on Acoust., Speech and Signal Processing.

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 177.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 21, pp 7, Ellipses, Paris 2008.

LINKS

J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Sequence in context: A035319 A081786 A130039 this_sequence A119099 A033510 A123844

Adjacent sequences: A007590 A007591 A007592 this_sequence A007594 A007595 A007596

KEYWORD

nonn,hard

AUTHOR

njas, David W. Wilson (davidwwilson(AT)comcast.net)

EXTENSIONS

328256967373616371221, 67585198634817522935331173030319681, 443426488243037769923934299701036035201 are also in the sequence - Jud McCranie (j.mccranie(AT)comcast.net), Dec 16 1999

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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