# [seqfan] Re: Condom sequence

Tanya Khovanova mathoflove-seqfan at yahoo.com
Fri Sep 4 00:17:02 CEST 2009

```Of course, the classical problem provides a nice upper bound. We can divide gay men into two groups (in an optimal manner) and say that these two groups can be treated as different genders in the classical problem. But we certainly can improve on that, as for three men the derived upper bound is four, and the real answer as three.

--- On Thu, 9/3/09, Jonathan Post <jvospost3 at gmail.com> wrote:

> From: Jonathan Post <jvospost3 at gmail.com>
> Subject: [seqfan] Re: Condom sequence
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Thursday, September 3, 2009, 6:04 PM
> Weisstein, Eric W. "Glove Problem."
> From MathWorld--A Wolfram Web
> Resource. http://mathworld.wolfram.com/GloveProblem.html
>
> Also known as:
>
> Condom Problem
>
> Cf. A155940
>
>
>
> On Thu, Sep 3, 2009 at 2:57 PM, Tanya
> Khovanova<mathoflove-seqfan at yahoo.com>
> wrote:
> > Hello all,
> >
> > I just wrote a piece that might contain a new
> sequence:
> > http://blog.tanyakhovanova.com/?p=168
> >
> > The sequence is related to the generalization of the
> following math problem:
> >
> > Suppose three gay men all want to have sex with each
> other and every pair among them wants to do two penetrative
> sexual acts, switching roles. They want to avoid
> contaminating each other, and in addition, each man also
> does not want to cross-contaminate himself from either
> region to the other. How can they do that using exactly
> three condoms?
> >
> > a(2) = 2,
> > a(3) = 3,
> > a(4) = 4.
> >
> >
> > _______________________________________________
> >
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> >
>
>
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>

```